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Resistors of 3 Ohms, 8 Ohms, and 12 Ohms are connected purely in series to a...

Resistors of 3 Ohms, 8 Ohms, and 12 Ohms are connected purely in series to a 18 volt battery. All three resistors will dissipate a different amount of power. What is the power dissipated by the resistor which dissipates the least power in Watts?

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Answer #1

The power dissipated in each resistor depends on the current flowing through it and the resistance value of the resistor.

In the series circuit, the total resistance

R = R1 + R2 + R3

R = 3 + 8 + 12

R = 23 ohms

The battery voltage is 18V

Hence the current flowing in the circuit is

I = V/R

I = 18/23

I = 0.7826A.

Now, the power dissipation is given by the formula,

In each of the resistor, the power dissipation will be

Hece the least power dissipation is in the 3ohm resistor and the power dissipated is 1.837W

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