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balandron [24]
3 years ago
8

A circuit element maintains a constant resistance. If the current through the circuit element is doubled, what is the effect on

the power dissipated by the circuit element
Physics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

<h3>This shows that the power dissipated by the circuit element is four times its original power if the current is doubled.</h3>

Explanation:

The formula for calculating the power expended in a circuit is P =  I²R... 1

i is the current (in amperes)

R is the resistance (in ohms)

If  a circuit element maintains a constant resistance and the current through the circuit element is doubled, then new current I₂ = 2I

New power dissipated P₂ = (I₂)²R

P₂ = (2I)²R

P₂ = 4I²R ... 2

Dividing equation 2 by 1 will give;

P₂/P = 4I²R/I²R

P₂/P = 4

P₂ = 4P

This shows that the power dissipated by the circuit element is four times its original power if the current is doubled.

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