2. [1pt] The lines show equipotential contours in the plane of three point charg

Question

2. [1pt] The lines show equipotential contours in the plane of three point charges, Q1, Q2, and Q3. The positions of the charges are marked by dots. The values of the potentials are in kilovolts as indicated, e.g., +5 kV, ?5 kV; the contour interval is 1 kV. The letters denote locations on the contours. For distances use the scale below the picture, to an appropriate accuracy. Select all the correct statements, e.g., AB.

A) The electric field at j is stronger than at i.

B) Charge Q3 is the largest positive charge.

C) Charge Q2 is the largest negative charge.

D) The electric field at g is zero.

E) Q3 is a negative charge.

F) The force on an electron at g points to the bottom of the page.

3. Calculate the work required to move a charge of -4.40

Explanation / Answer

2)

A)Electric field is stronger in places where lines are closer.Since lines are closer at i-field is stronger there as comparerd to j.Therefore statement is false.

B)True(only +ve charge)

C)True( lines are closer to centre as compared to q1)

D)line of 0V passes through g.This doees not mean that E at g should be zero.However since the slope of V is constant near g it implies that E must be constant.only permissible value is E=0.TRUE

E)True(since g is closer to both -ve charges an electron at g will be repelled)

3)'c' is not shown in the diagram

4)E=0(2 part D)

5)Force=qE

since E at k = 0 F=0

6)potential =kq/r=constant:in magnitude

q1:q2:q3=1:2:3

this implies

r1:r2:r3=1:2:3

for V to be constant

Therefore Q3 must be 3^3=27 times more in Volume as compared to Q1

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