# Charges on Large and Parallel Conducting Plates

## Trending Questions

**Q.**A parallel plate capacitor is connected with a battery. If the plates of capacitor are shifted apart, then which of the following is the correct statements.

- The intensity of electric field between the plates decreases and charge on plates also decreases
- The intensity of electric field between the plates remains constant but charge on the plates increases
- The intensity of electric field between the plates remains constant but charge on the plates decreases
- The intensity of electric field between the plates increases but charge on the plates decreases

**Q.**Find the direction θ of →E at point P due to uniformly charged finite rod will be at an angle

- 30∘ from x-axis
- 45∘ from x-axis
- 60∘ from x-axis

- none of these

**Q.**

In an electric field an electron is kept freely . if the electron is replaced by a proton what will be the relationship between the forces experienced by them

**Q.**two identical helium filled balloons a & b fastened to a weight of 5g by threads floats in equilibrium as shown in the figure calculate the charge on each balloons , assuming that they carry equal charges

**Q.**Three equal point charges with charge +q each are moving along a circle of radius R and a fixed point charge −2q is placed at the centre of the circle. If +q charges are revolving at constant speed around −2q as shown, then the speed of charges are

(Assume that charges (+q) form vertices of equilateral triangle)

- kq2√3Rm
- ⎷kq2Rm(2−1√3)
- √kq2Rm(√2+1)
- kq22Rm

**Q.**In a process, when two bodies are charged by rubbing against each other, one becomes positively charged while the other becomes negatively charged. Then

- Mass of each body remains unchanged
- Mass of positively charged body slightly increases
- Mass of negatively charged body slightly decreases
- Mass of each body changes slightly but the total mass of system remains the same

**Q.**

Two protons A and B are placed in between the two plates of a parallel plate capacitor charged to a potential difference V as shown in the figure. The forces on the protons due to capcitor plates are

- Equal in magnitude and opposite in direction
Equal in magnitude and in same direction

Unequal in magnitude and opposite in direction

Unequal in magnitude and different in direction

**Q.**A proton is released at rest 10 cm from a charged sheet (perpendicular to it) having uniform electric field around it of intensity 123 N/C towards (perpendicular to) the sheet. It will strike the sheet after the time (approximately)

(Charge on proton is 1.6×10−19 C and mass of proton is 1.6×10−27 kg)

- 4 μs
- 2 μs
- 2√2 μs
- 4√2 μs

**Q.**The material filled between the plates of a parallel plate capacitor has resistivity 200 Ωm. The value of capacitance of the capacitor is 2 pF. If a potential difference of 40 V is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is :

[Given the value of relative permitivity of material (k=50)]

- 9.0 μA
- 0.9 μA
- 0.9 mA
- 9.0 mA

**Q.**Assertion(A): Four point charges q1, q2, q3 and q4 are as shown in figure. The flux over the shown gaussian surface depends only on charges q1 and q2

Reason(R): Electric field at all points on gaussian surface is depends only on charges q1 and q2

Select the most appropriate answer from the options given below

- Both A and R are true and R is the correct explanation of A
- Both A and R are true but R is not the correct explanation of A
- A is true but R is false
- A is false and R is also false

**Q.**Find the electric field at the centre of semicircular ring shown in the figure.

- 4kqπR2(^i)
- 4kqπR2(−^i)
- 2kqπR2(−^i)
- 4kqπR(−^i)

**Q.**For the given uniformly charged ring, magnitude of the net electric field at point P is

**Q.**Find the maximum electric field due to a uniformly charged ring of charge Q and radius R along the axis of the ring [K=14πϵ0]

- KQ3√3R2
- 2KQ√3R2
- 2KQ3√3R2
- 2KQ√3R2

**Q.**

Force acting upon a charged particle kept between the plates of a charged condenser is F. If one plate of the condenser is removed, then the force acting on the same particle will become:

0

F/2

F

2F

**Q.**

If the potential difference between the plates of a capacitor is increased by 20%, the energy stored in the capacitor increases by exactly

40%

22%

44%

20%

**Q.**

Three identical plates are given charges as shown in figure. Charge flown through switch from middle plate when it is closed is.

- 3Q
- −2Q
- 2Q
- 0

**Q.**The graph between magnitude of electric field intensity due to a positive point charge, as a function of inverse of distance from it is

[0.77 Mark]

- Ellipse
- Hyperbola
- Parabola
- Straight Line

**Q.**An infinite wire having linear charge density +λ is arranged as shown. A charge particle of mass m and charge q is released from point P. Find the initial acceleration of the particle (at t=0) just after the particle is released.

(Assume the straight parts of wire perpendicular to XY plane.)

- qλ2πϵ0mR^j
- qλπϵ0mR(−^j)
- 2qλπϵ0mR(^k)
- qλ2πϵ0mR(−^j)

**Q.**Consider the system shown below. If the charge is slightly displaced along the perpendicular to the wire from its equilibrium position then find out the time period of SHM (k=14πεo).

- 2π√md2kλq
- 2π√md23kλq

- π√md22kλq

- 2π√md22kλq

**Q.**A parallel plate capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the space between capacitor plates is

- CVε0
- 2CVε0
- Zero
- CV2ε0

**Q.**A parallel plate capacitor made of circular plates each of radius R=6 cm has a capacitance C=100 pF. The capacitor is connected to a 230 V AC supply with an angular frequency of 300 rad/s. Determine the amplitude of the magnetic field at point 3 cm from the axis between the plates.

- 3.26×10−11 T
- 1.63×10−11 T
- 4.89×10−11 T
- 8.15×10−11 T

**Q.**Given graph shows electric field intensity due to a point charge (E) at a distance (x) from it.

Here graphs(A, B, C, D) corresponding to four charges are shown. Which graph represents the charge of higher magnitude?

- A
- B
- C
- D

**Q.**If the half portion ACB of the uniformly charged ring ADBCA is cut-out then the net electric field due to remaining half portion will be

- 90 N/C along OC
- 90 N/C along OD
- 180 N/C along OC
- 180 N/C along OD

**Q.**Two conducting plates A and B are placed parallel to each other. A and B are given charges 10 nC and 12 nC respectively . Find the distribution of charge on the inner surface of plate A.

- −1 nC
- −2 nC
- −3 nC
- −4 nC

**Q.**

According to the principle of conservation of charge, the net change in an isolated system ____________

**Q.**Two points are at distances a and b (a<b) from a long string having linear charge density λ. The potential difference between the points is proportional to

- ba
- b2a2
- √ba
- ln(ba)

**Q.**84. Force exerted by a charged particle q1 on another charged particle q2 depend upon the medium between them?

**Q.**Two protons A and V move parallel to the X-axis in opposite directions with equal speed V. At the instant shown , the magnetic force and electric force acting on the proton A is?? (C=speed of light in vacuum)

**Q.**Two large conducting sheet are placed parallel to each other with a separation of 2 cm between them. An electron starting from rest near one of the sheets reaches the other plate in 2 μs. The surface charge density on the inner surface is

[Assume both sheets have same charge density]

- 3.1×10−13 C/m2
- 4.1×10−13 C/m2
- 5.1×10−13 C/m2
- 6.1×10−13 C/m2

**Q.**A conduting rod PQ of length l intially at rest is dragged with a constant force F along two long smooth parallel rails separated by a distance l as shown in the figure. Then choose the correct statement(s).

- Terminal velocity of the rod, VT=2FRB2l2
- Terminal velocity of the rod, VT=FRB2l2
- Maximum charge on the capacitor, qmax=FCRBl
- Maximum charge on the capacitor, qmax=2FCRBl