Question

Rectangle is another symbol for the resistor

7. Each of four resistors in the figure has a resistance of 22 and can dissipate a maximum of 30W without becoming excessively hot. What is the maximum potential difference can be applied across this circuit? What would be total dissipated power?

Answer 1

2 Resistance are in series:

$R_{eq1}=2+2=4 \Omega$

Equivalent resistance of circuit:

$\frac{1}{R_{eq}}=\frac{1}{4}+\frac{1}{4}$

$R_{eq}=2\Omega$

Power in series:

$P=P_{1}+P_{2}$

$I^{2}=60$

$I=7.75A$

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Then

$V=I*R_{eq}=7.75(2)$

$\boldsymbol{V=15.5\: V}$

Total Power:

$P=I*V$

$\boldsymbol{P\approx 120\: W}$