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Question

Question: The provided image shows an electrical circuit diagram. Assuming the question is to find the total c...

The provided image shows an electrical circuit diagram. Assuming the question is to find the total current drawn from the battery, the solution is as follows:

A

The total current drawn from the battery is 257A\frac{25}{7} A.

B

The total current drawn from the battery is 205.6A\frac{20}{5.6} A.

C

The total current drawn from the battery is 5.6A5.6 A.

D

The total current drawn from the battery is 4A4 A.

Answer

The total current drawn from the battery is 257A\frac{25}{7} A.

Explanation

Solution

  1. Calculate the equivalent resistance of the parallel combination of 8Ω8\Omega and 2Ω2\Omega: Rp=8Ω×2Ω8Ω+2Ω=1.6ΩR_p = \frac{8\Omega \times 2\Omega}{8\Omega + 2\Omega} = 1.6\Omega.
  2. Calculate the total equivalent resistance of the circuit: Req=4Ω+1.6Ω=5.6ΩR_{eq} = 4\Omega + 1.6\Omega = 5.6\Omega.
  3. Calculate the total current using Ohm's Law: I=VReq=20V5.6Ω=257AI = \frac{V}{R_{eq}} = \frac{20V}{5.6\Omega} = \frac{25}{7} A.