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Equivalent Resistance of a System of Resistor

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Figure shows the variation of electric field inten sit 5) What is the potential differenc 2 m an between the points at x from O? (N/C) x-10 5 (1) 30 V (3) 40 V 4 6 x(m) (2) 60 V (4) 80 V

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Q. The variation of potential with distance r from a fixed point is shown in Figure. The electric field at

r = 5

Q. An electric field of 20 NC⁻¹ exists along the x-axis in space. Calculate the potential difference V_B − V_A where the points A and B are
(a) A = (0, 0); B = (4 m, 2m)
(b) A = (4 m, 2 m); B = (6 m, 5 m)
(c) A = (0, 0); B = (6 m, 5 m)
Do you find any relation between the answers of parts (a), (b) and (c)?

Q. The variation of potential

V

r

from a fixed point is shown in the figure. The magnitude of electric field at

r = 2 cm

Q. A conducting sphere

A

of radius a, with charge

Q

is placed concentrically inside a conducting shell

B

b . B

C

is the common centre of

A

B

P

is the point between shells

A

B

r

C

then Match the proper entries from column- 2 to column- 1 using the codes given below the columns, (use

a = 1 m, b = 3 m, r = 2 m and K = \frac{1}{4 π ε_{0}})

Column-I	Column-II
(p) Electric field at point $P$ is	(1) $\frac{2 K Q}{3}$
(q) Electric potential at point $P$ is	(2) zero
(r) Electric potential difference between $A$ and $B$ is	(3) $\frac{K Q}{4}$
(s) Electric field outside the shell $B$ at distance $5 m$ from centre $C$ is	(4) $\frac{K Q}{6}$

Q. The variation of potential with distance R from a fixed point is as shown below. The electric field at R = 5m is

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Equivalent Resistance of a System of Resistor

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