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A 9-V battery is hooked up to two resistors in series. One has a resistance of 5

ID: 1398504 • Letter: A

Question

A 9-V battery is hooked up to two resistors in series. One has a resistance of 5 ?, and the other has a resistance of 10 ?. Several locations along the circuit are marked with letters, as shown in the figure. Through which resistor is energy being dissipated at the higher rate?

Item 1 Part A A 9-V battery is hooked up to two resistors in series. One has a resistance of 5 , and the other has a resistance of 10 . Several locations along the circuit are marked with letters, as shown in the figure. Through which resistor is energy being dissipated at the higher rate? 5 9 VT 10 O the 10-2 resistor O Energy is being dissipated by both resistors at the same rate. the 5- resistor

Explanation / Answer

Rate of dissipation of energy is power.

Power= i^2* R

So first we need to find current i in the circuit.

i = Vnet /Rnet

=9 / (10+5)

=0.6 A

power for 5 ohm = i^2 * 5

= (0.6^2) * 5

= 1.8 W

power for 10 ohm = i^2 * 10

= (0.6^2) * 10

= 3.6 W

So, 10 ohm resistor would dissipate at higher rate

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