Partially Filled Dielectrics
Trending Questions
Q. The capacitance of a parallel plate capacitor with air as medium is 6 μF. With the introduction of a dielectric medium, the capacitance becomes 30 μF. The permittivity of the medium is: ε0=8.85×10−12 C2N−1m−2
- 0.44×10−10 C2N−1m−2
- 5.00 C2N−1m−2
- 0.44×10−13 C2N−1m−2
- 1.77×10−12 C2N−1m−2
Q. An electric dipole consisting of two equal and opposite point charges (q, m) and dipole length=2l is slightly disturbed from its position of stable equilibrium. The minimum time during which its gets aligned with the electric field.
Q.
How do capacitors increase DC voltage?
Q. a parallel plate capacitor (without dielectric) is charged by a battery and kept connected to the battery.a dielectric slab of dielectric constant K is inserted between the plates fully occupying the space between the plates.the energy density of electric field between the plates will
(1)increase K^2 times (2)decrease K^2 times (3)increase K times (4)decrease K times
Q. For the given charge distribution, net electric field at the centre of non-conducting ring is
(Assume that charge on first quadrant is neutral, second and third quadrant is positively charged, fourth quadrant is negatively charged )
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1111966/original_original_original_8.png)
(Assume that charge on first quadrant is neutral, second and third quadrant is positively charged, fourth quadrant is negatively charged )
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1111966/original_original_original_8.png)
- 185 N/C
- 285 N/C
- 384 N/C
- 484 N/C
Q. A thin uniformly charged ring of radius 1 m, charge +10 C and a semi-infinite charged wire of λ=+10 nC/m, oriented along the axis of ring with one of its ends coinciding with the centre of the ring, form a system. Find the force of interaction between the ring and wire.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1106942/original_4.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1106942/original_4.png)
- 600 N
- 700 N
- 800 N
- 900 N
Q. Capacitance of a parallel plate capacitor becomes 43 times its original value if a dielectric slab of thickness t=d2 is inserted between the plates [d is the separation between the plates]. The dielectric constant of the slab is
- 4
- 8
- 2
- 6
Q. The potential difference between points A and B is
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1297903/original_27.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1297903/original_27.png)
Q. A parallel plate capacitor of capacitance C
has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness δ=dN. The dielectric constant of the mth layer is Km=K(1+mN). For a very large N(>103), the capacitance C is α(K∈0Adln2). The value of α will be . [∈0 is the permittivity of free space]
has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness δ=dN. The dielectric constant of the mth layer is Km=K(1+mN). For a very large N(>103), the capacitance C is α(K∈0Adln2). The value of α will be
Q. The charge on plate of capacitor varies as q=qosinwt and seperation between plates in very small as compared to area of the plate.The peak value of displacement current through capacitor
Q. A charged wire of length 3 m lies along x− axis in such a way that its linear charge density is given by λ=2x2 C/m. The total charge on the wire is
- 15 C
- 18 C
- 17 C
- 16 C
Q. Consider a parallel-plate capacitor of capacitance 10 μF with air filled in the gap between the plates. Now, one half of the space between the plates is filled with a dielectric of dielectric constant 4 as shown in the figure. The capacitance of the capacitor changes to
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606471/original_Q08.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606471/original_Q08.png)
- 25 μF
- 20 μF
- 20 μF
- 40 μF
Q. A parallel plate capacitor with plate area A and plate separation d=2 m has a capacitance of 4 μF. The new capacitance of the system, if half of the space between them is filled with a dielectric material of dielectric constant K=3 (as shown in figure) will be:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1732734/original_original_9.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1732734/original_original_9.png)
Q. In the given circuit, potential difference between points A and B is (i.e VAB)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/529289/original_19_Q.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/529289/original_19_Q.png)
- +20 V
- -12 V
- +14 V
- +8 V
Q. An electric current is passed through a circuit containing two wires of the same material connected in parallel. If the lengths and radii of the wires are in the ratio of 4/3 and 2/3 respectively, then the ratio of the currents passing through the wires will be -
- 1/3
- 1/5
- 8/9
- 2
Q. Two large non-conducting plates having surface charge densities +σ and −σ respectively, are fixed d distance apart. A small test charge q of mass m is attached to two non-conducting springs, each of spring constant k as shown in the figure. The sum of lengths of both springs in undeformed state is d. The charge q is released from rest with both the spring undeformed. Then charge q will -
(Neglect gravity)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1329968/original_1.png)
(Neglect gravity)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1329968/original_1.png)
- Performs SHM with angular frequency √2km and amplitude σqkϵ0.
- Performs SHM with angular frequency √2km and amplitude σq2kϵ0.
- Does not perform SHM, but will execute periodic motion.
- Remains stationary.
Q. A dielectric slab of area A and thickness d is inserted between the plates of a capacitor of area 2A with constant speed v as shown in the figure. Distance between the plates is d.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606553/original_Q13.png)
The capacitor is connected to a battery of e.m.f. E; the current in the circuit varies with time as
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606553/original_Q13.png)
The capacitor is connected to a battery of e.m.f. E; the current in the circuit varies with time as
- none of these
Q. A parallel-plate capacitor has a dielectric slab in it. The slab just fills the space inside the capacitor. The capacitor is charged by a battery and then the battery is disconnected. Now, the slab is pulled out slowly at t=0. If at time t, the capacitance of the capacitor is C and potential difference between the plates of the capacitor is V, then which of the following graphs is/are correct.
Q. An air capacitor of capacity C=10 μF is connected to a constant voltage battery of 12 V. Now the space between the plates is filled with a liquid of dielectric constant 5. The excess charge that flows now from battery to the capacitor is
- 120 μC
- 600 μC
- 240 μC
- 480 μC
Q. Consider the situation shown in figure.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1264399/original_68S.png)
The plates of the capacitor have plate area A and are clamped in the laboratory. The dielectirc slab is released from rest with a length a inside the capacitor. Neglecting any effect of friction or gravity, show that the slab will execute periodic motion and find its time period.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1264399/original_68S.png)
The plates of the capacitor have plate area A and are clamped in the laboratory. The dielectirc slab is released from rest with a length a inside the capacitor. Neglecting any effect of friction or gravity, show that the slab will execute periodic motion and find its time period.
- √mld(l−a)ε0AE2A(K−1)
- 2√mld(l−a)ε0AE2A(K−1)
- 4√mld(l−a)ε0AE2A(K−1)
- 8√mld(l−a)ε0AE2A(K−1)
Q. The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1529527/original_2019__12th_Jan_evening__24.png)
What is the value of current at t=4 s?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1529527/original_2019__12th_Jan_evening__24.png)
What is the value of current at t=4 s?
- 2 μA
- 1.5 μA
- 3 μA
- Zero
Q.
Write a function rule for “the output is half of the input.”
Q. Two long parallel wires P and Q placed at a separation of 6 cm carries electric currents, I1=5 A and I2=2 A respectively in the opposite directions as shown in the figure. Find the point on the line AB where the resultant magnetic field is zero.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1277950/original_ZZZ.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1277950/original_ZZZ.png)
- 4 cm away from B and 10 cm away from A
- 4 cm away from B and 2 cm away from A
- At the midpoint of AB
- None of these
Q. A parallel plate capacitor is made of two square plates of side ′a′, separated by a distance d(d<<a). The lower triangular portion is filled with a dielectric of dielectric constant K. The capacitance of this capacitor is :![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/630895/original_cf.PNG)
- 12Kϵ0a2d
- Kϵ0a2dlnK
- Kϵ0a2d(K−1)lnK
- Kϵ0a22d(K+1)
Q. A parallel-plate capacitor with no dielectric has a capacitance of 0.5 μF. The space between the plates is filled with equal amounts of two dielectric materials of dielectric constants 2 and 3 as shown in the figure. Find the capacitance of the system.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606465/original_Q07.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/606465/original_Q07.png)
- 1.2 μF
- 1.8 μF
- 1.25 μF
- None of these
Q. A parallel plate capacitor contains a mica sheet (thickness =10−3 m) and a sheet of fibre (thickness =0.5×10−3 m). The dielectric constant of mica is 8 and that of fibre is 2.5. Assuming that the fibre breaks down when subjected to an electric field of 6.4×106 V/m, find the maximum safe voltage that can be applied to the capacitor.
- 2.08 kV
- 2.08 V
- 9.6 kV
- 9.6 V
Q. A parallel plate air capacitor is made using two square plates each of side 0.2 m, spaced 1 cm apart. It is connected to a 50 V battery. What is the charge on each plate?
- 1.77×10−3C
- 1.77×10−3μC
- 3.54×10−3C
- 3.54×10−3μC
Q. a parallel plate capacitor is charged by a I=2*10^-7 . when discharge of the capacitor takes place through a resistance the rate of change of electric flux is??
Q. The capacitor plates are fixed on an inclined plane and connected to a battery of e.m.f. E. The capacitor plates have area A, length l and the distance between them is d. A dielectric slab of mass m and dielectric constant k is inserted into the capacitor and tied to a mass M by a massless string as shown in the figure. Find the value of M for which the slab will stay in equilibrium. There is no friction between slab and plates.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/627918/original_output-onlinepngtools.png)
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/627918/original_output-onlinepngtools.png)
- m2+E2ε0A(k−1)2lgd
- m2−E2ε0A(k−1)2lgd
- m2−E2ε0A(k−1)lgd
- m2+E2ε0A(k−1)2lgd
Q.
How much energy can a capacitor store?