Question

circuit (the circuit in Part A). The voltage across each resistor in the two-resistor circuit is ___________ the voltage across the resistor in the one-resistor circuit. The current through each resistor in the two-resistor circuit is _________ the current through the resistor in the one-resistor circuit (the circuit in Part A). The voltage across each resistor in the two-resistor circuit is ___________ the voltage across the resistor in the one-resistor circuit. twice / twice twice / half half / half the same as / half half / twice half / the same as

Answer 1

Answer:

Current is half

Voltage is half

Explanation:

according to Ohms law V = IR

Case 1

I₁ = V / R

I₂ = V / (R+R) = V / 2R

∴ I₁ / I₂ = (V/R) / (V/2R)

=> I₁ / I₂ = (V/R) * (2R/V)

=> I₁ / I₂ = (2VR / RV)

I₁ / I₂ = 2

I₂ = I₁ / 2

The current through each resistor in the two-resistor circuit is half the current through the resistor in the one-resistor circuit (the circuit in Part A).

The voltage across each resistor in the two-resistor circuit is half the voltage across the resistor in the one-resistor circuit.