Worksheet: Currents in Parallel Circuit Branches

In this worksheet, we will practice calculating the currents in different branches of multibranch electric circuits by applying Kirchhoff's current law.

Q1:

Consider the circuits shown. The resistors’ resistances should be taken to the nearest whole number of ohms ().

What is the current through in circuit (a)?

What is the current through in circuit (a)?

What is the current through in circuit (a)?

What power is dissipated by circuit (a)?

What is the current through in circuit (b)?

What is the current through in circuit (b)?

What is the current through in circuit (b)?

What power is dissipated by circuit (b)?

Q2:

Consider the circuit shown.

Find the current through π‘…οŠ§.

Find the current through π‘…οŠ¨.

Find the current through π‘…οŠ©.

Find the current through 𝑅οŠͺ.

Find the current through π‘…οŠ«.

Q3:

In the circuit shown in the accompanying diagram, 𝑅= 5.0 Ξ©.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Q4:

A 1,200 W toaster, a 1,600 W speaker, and a 90 W lamp are plugged into the same outlet in a 110 V circuit. The three devices are in parallel when plugged into the same socket.

What current is drawn by the toaster?

What current is drawn by the speaker?

What current is drawn by the lamp?

Q5:

Consider the multipath circuit shown in the accompanying diagram.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Q6:

Currents and voltages are measured in the circuit shown in the diagram.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Find π‘‰οŠ©.

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