The power P delivered to each resistor is the product ofthe current squared ( I

Question

The power P delivered to each resistor is the product ofthe current squared (I2) and the correspondingresistance R, or P = I2R. Theresistances are known, and Ohm's law can be used to find thecurrent. Ohm's law states that the current in the circuit (which isalso the current through each of the resistors) equals the voltageV of the battery divided by the equivalent resistanceRs of the two resistors: I =V/Rs. Since the resistors are connected in series,we can obtain the equivalent resistance by adding theresistances.

Three resistors, 1.5 , 4.5 , and 7.5 ,are connected in series across a 28-Vbattery. Find the power delivered to each resistor.
1.5 resistor 1 W 4.5 resistor 2 W 7.5 resistor 3 W 1.5 resistor 1 W 4.5 resistor 2 W 7.5 resistor 3 W 1.5 resistor 1 W 4.5 resistor 2 W 7.5 resistor 3 W

Explanation / Answer

the total resistance is 13.5 ohms so the current is : v=ir 28=i13.5 i=2.074 so 1.5ohms= 2.074^2 * 1.5=6.45W 4.5ohms= 2.074^2*4.5 = 19.36W 7.5ohms=2.074^2*7.5=32.26W

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