Question

find the currents through each resistor in the circuit shown on the diagram (figure 1). use the following values: e = 12.0 v , r1 = 35.0 ω , r2 = 22.0 ω , r3 = 41.0 ω , and r4 = 14.0 ω .

Answer 1

To find the currents through each resistor in the circuit, first calculate the total current using Ohm's law. Then use Kirchhoff's laws to find the currents through each resistor.

Step-by-step explanation:

To find the currents through each resistor in the circuit, we can first use Ohm's law to calculate the total current in the circuit. Given that the voltage supplied by the battery is 12.0 V and the total resistance in the circuit is 5.11 Ω, we can calculate the total current as:

I = V / R

I = 12.0 V / 5.11 Ω

I ≈ 2.35 A

Once we have the total current, we can use Kirchhoff's laws to find the currents through each resistor. For example, to find the current through R₂, we can first calculate the voltage applied to it as:

V₂ = V - V₁

V₂ = 12.0 V - 2.35 V

V₂ ≈ 9.65 V