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Battery Voltage

APPH12-SEQWIZ

Two resistors are connected to a battery as shown below.

• The resistance of the first resistor is $9.0\text{ ohms}$ (${R}_{1}=\text{9.0}\ \Omega$).
• Energy is dissipated by the the second resistor at the rate of $32\text{ Joules/second}$ (${P}_{2}=32\text{ Watts}$).
• Charge flows in the wire between resistor 1 and resistor 2 at the rate of $2.0\text{ Coulombs/second}$ ($I=2.0\text{ Amps}$).

Which of the following is the emf supplied by the battery (${V}_{B}$)?

A

$21\text{ V}$

B

$34\text{ V}$

C

$41\text{ V}$

D

$73\text{ V}$