Question

Consider the circuit shown in Figure. The terminal voltage of the 2.40 - Vbattery is 21.2 V. What are (a) the internal resistance r of the battery and (b) the resistance R of the circuit resistor?

Short answer

1. The internal resistance r of the battery is$0.70\Omega$
2. The resistance R of the circuit resistor is$5.3\Omega$$5.3\Omega$

Step-by-step solution

Determine the internal resistance of the battery

a. Use the formula of internal resistance

Substitute the given values

Thus, the internal resistance r of the battery is

Determine the resistance of the circuit resistor

b. Use the Ohm’s law

Substitute the given values

$\begin{array}{l}R=\frac{21.2v}{4.0A}\\ R=5.3\Omega \end{array}$

Therefore, the resistance R of the circuit resistor is $5.3\Omega$