Given the circuit find the voltage across each resistor


Given the circuit, find the voltage across each resistor and the power dissipated in each.

Given the circuit find the voltage across each resistor

Image from: Irwin, J. David., and R. M. Nelms. Basic Engineering Circuit Analysis, Tenth Edition. N.p.: John Wiley & Sons, 2010.

Solution:

Let us first convert 0.25 S into ohms. Currently, the value is in Siemens, representing conductance.

0.25 = \frac{1}{R}

R=4\Omega

Remember that voltage across a resistor can be found using V=IR, where V is voltage, I is current and R is resistance.

For the 5\Omega resistor, we have the following:

V=(6A)(5\Omega)

V=30V

For the 4\Omega resistor, we have the following:

V=(6A)(4\Omega)

V=24V

To find the power dissipated, we can use the following formula:

P=\frac{V^2}{R} where P is power represented in watts.

For our 5\Omega resistor, we have:

P=\frac{30^2}{5}

P=180W

For our 4\Omega resistor, we have:

P=\frac{24^2}{4}

P=144W

This question can be found in Basic Engineering Circuit Analysis, 10th edition, chapter 1, question 2.4.

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