A resistor circuit is constructed such that 12 resistor are arranged to form a cube as shown in fig. Each resistor has a resistance of `2Omega.` The potential difference of 30V is applied across two of the opposing points as shown

If we replace resistor between A and B and resistors between G and H by wires of zero resistance, then the points having the same potential are
i. D,E,C,F ,ii. A,B ,iii. G,H

Options

A. Only (i) is correct.
B. Only (ii) is correct.
C. Only (iii) is correct.
D. (i), (ii) and (iii) are correct.

Answer

D

Explanation

D, B, and E are are symetrical
to A, hence potential at these
points is same. Similarly , C,
F, and H are symmetrical
to G. So potential at these
points is the same.

Resulting diagram will be
as shown : C, D, F, and E will
be at the same potential.
Potential difference between
C and G will be half to the applied potential, i.e.,
`V_(CG) = 30//2 = 15V`