Answer to Question #330171 in Electricity and Magnetism for Nero

Question

1. A series circuit consisting of 3 resistors R₁ = 8.0Ω, R₂ = 12.0Ω, and R₃ = 4.0Ω is connected to a 24.0 V terminal voltage. a. Calculate the equivalent resistance, b. Calculate the current through each resistor, c. Calculate the potential drop across each resistor.
2. Three resistors are connected in parallel, R₁ = 2.0Ω, R₂ = 5.0Ω, and R₃ = 10.0Ω attached to a 1.25V voltage source. a. Calculate the equivalent resistance, b. Calculate the current supplied by the source to the parallel circuit, c. Calculate the current in each resistor.

Answer 1

1.

$R=R_1+R_2+R_3=24~\Omega,$

$I=\frac UR=1~A.$

2.

$R=\frac{R_1R_2R_3}{R_1R_2+R_1R_3+R_2R_3}=1.25~\Omega,$

$I=\frac UR=1~A.$