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Question

Question: Find the current supplied by the battery in the circuit shown in figure (32-W7)....

Find the current supplied by the battery in the circuit shown in figure (32-W7).

Answer

1 A

Explanation

Solution

The circuit consists of a 3V battery connected to four 12Ω12 \Omega resistors in parallel. The equivalent resistance ReqR_{eq} is calculated as 1Req=112+112+112+112=412=13Ω\frac{1}{R_{eq}} = \frac{1}{12} + \frac{1}{12} + \frac{1}{12} + \frac{1}{12} = \frac{4}{12} = \frac{1}{3} \Omega, so Req=3ΩR_{eq} = 3 \Omega. Using Ohm's Law, I=VReq=3 V3Ω=1I = \frac{V}{R_{eq}} = \frac{3 \text{ V}}{3 \Omega} = 1 A.