Question

If each resistor in the circuit shown is 5.0 Ω and the battery is 12.0 V, what does the first voltmeter (V1) read?

A. 0.12 V

B. 0.35 V

C. 0.96 V

D. 2.4 V

Answer 1

at the first step, our equivalent circuit is:

Answer 2

so, the total current is:
\[\large I = \frac{V}{{{R_{TOTAL}}}} = \frac{{12}}{{5 + 5 + 2.5}} = ...Amperes\]
since the total resistance is:
\[\large {R_{TOTAL}} = 5 + 5 + \frac{5}{2} = ...Ohms\]

Answer 3

we get 0.96? choice C is our solution?

Answer 4

no, since 0.96 is a current, and we want the voltage drop across the parallel of both 5 ohms resistances. So our answer is:
\[\large {V_1} = I{R_{AB}} = 0.96 \times \frac{5}{2} = ...Volts\]