Worksheet: Analyzing Circuits

In this worksheet, we will practice calculating the current and potential drop-offs through circuits containing multiple components and branches.

Q1:

Consider the circuit shown below. The terminal voltage of the battery is 18.00 V.

Find the equivalent resistance of the circuit.

Find the current through 𝑅 1 .

Find the current through 𝑅 2 .

Find the current through 𝑅 3 .

Find the potential drop across 𝑅 1 .

Find the potential drop across 𝑅 2 .

Find the potential drop across 𝑅 3 .

Find the power dissipated by 𝑅 1 .

Find the power dissipated by 𝑅 2 .

Find the power dissipated by 𝑅 3 .

Find the power supplied by the battery.

Q2:

In the circuit shown, the current 𝐼 1 is 2.35 A and the current 𝐼 2 is 1.61 A.

Calculate the current through the 13.00 Ω resistor.

Calculate the voltage across 13.00 Ω resistor.

Q3:

Consider the circuit shown. The battery has an emf of 30.00 V and an internal resistance of 1.00 Ω.

Find the equivalent resistance of the circuit.

Find the current from the battery.

Find the current through 𝑅 1 .

Find the current through 𝑅 2 .

Find the current through 𝑅 3 .

Find the current through 𝑅 4 .

Find the current through 𝑅 5 .

Find the power dissipated by 𝑅 1 .

Find the power dissipated by 𝑅 2 .

Find the power dissipated by 𝑅 3 .

Find the power dissipated by 𝑅 4 .

Find the power dissipated by 𝑅 5 .

Q4:

Consider the circuit below.

Find the equivalent resistance of the circuit.

Find the current through 𝑅 1 .

Find the current through 𝑅 2 .

Find the current through 𝑅 3 .

Find the current through 𝑅 4 .

Find the potential drop across 𝑅 1 .

Find the potential drop across 𝑅 2 .

Find the potential drop across 𝑅 3 .

Find the potential drop across 𝑅 4 .

Find the power dissipated by 𝑅 1 .

Find the power dissipated by 𝑅 2 .

Find the power dissipated by 𝑅 3 .

Find the power dissipated by 𝑅 4 .

Q5:

Consider the circuit shown.

Find 𝐼 1 .

Find 𝐼 2 .

Find 𝐼 3 .

Find 𝐼 4 .

Find 𝐼 5 .

Find the power supplied by voltage source 𝑉 1 .

Find the power supplied by voltage source 𝑉 2 .

Find the power dissipated by 𝑅 1 .

Find the power dissipated by 𝑅 2 .

Find the power dissipated by 𝑅 3 .

Find the power dissipated by 𝑅 4 .

Q6:

Three resistors 𝑅 = 2 . 0 0 1 Ω, 𝑅 = 1 3 . 0 0 2 Ω, and 𝑅 = 6 . 0 0 3 Ω are connected as shown in the diagram.

What is the current 𝐼 1 ?

What is the current 𝐼 2 ?

Q7:

Consider the multipath circuit shown in the diagram.

Find the voltage 𝑉 .

Find the current 𝐼 .

Find the current 𝐼 .

  • A 8.1 A
  • B 0.73 A
  • C 3.3 A
  • D 1.2 A
  • E 4.9 A

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