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Question

Question: Seven equal resistances R are connected in a circuit with a DC supply V, as shown in the figure. Wha...

Seven equal resistances R are connected in a circuit with a DC supply V, as shown in the figure. What are the currents flowing through the arm AB (Resistor No. 1) and arm CD (Resistor No. 4), respectively?

A

V/(3R),0

B

V/(4R),V/(7R)

C

V/(3R), V/(7R)

D

V/(7R), 0

Answer

V/(3R),0

Explanation

Solution

Q R3R2=R5R6\frac{R_{3}}{R_{2}} = \frac{R_{5}}{R_{6}}

∴ Bridge is balance

∴ ICD = 0

IAB = VReq=V3R\frac{V}{R_{eq}} = \frac{V}{3R}