Asked by Chris
Three resistors R₁, R₂, and R, are connected in series and to a 120-volt source. If R₂ = 2R₁, R3 = 3R₁,
and the total power taken by the circuit is 200 watts, calculate (a) the resistance of each resistor, (b) the power in each resistor.
and the total power taken by the circuit is 200 watts, calculate (a) the resistance of each resistor, (b) the power in each resistor.
Answers
Answered by
oobleck
Total resistance R = 6R₁
P = E^2/R, so
120^2/6R₁ = 200
solve for R₁
the current is 120/6R₁, so use that for each resistor, P = I^2 R
P₁ = 120/6R₁ * R₁ = 20
and so on for the other two resistors
12
P = E^2/R, so
120^2/6R₁ = 200
solve for R₁
the current is 120/6R₁, so use that for each resistor, P = I^2 R
P₁ = 120/6R₁ * R₁ = 20
and so on for the other two resistors
12
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