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Question

Question: In the circuit shown, each resistance is 2Ω. The potential V<sub>1</sub> as indicated in the circuit...

In the circuit shown, each resistance is 2Ω. The potential V1 as indicated in the circuit is equal to –

A

11V

B

– 11V

C

9V

D

–9V

Answer

–9V

Explanation

Solution

i = 7V7Ω\frac{7V}{7\Omega} = 1A

V1 = – 9V

r=br=adrr2\int_{r = b}^{r = a}\frac{dr}{r^{2}}

v1v2i\frac{v_{1} - v_{2}}{i} = ρ4π\frac { \rho } { 4 \pi } (abab)\left( \frac{a - b}{ab} \right)

∴ R = ρ4π(ab)ab\frac{\rho}{4\pi}\frac{(a - b)}{ab}