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.

Find the current through 𝑅.

Find the current through 𝑅.

Find the potential drop across 𝑅.

Find the potential drop across 𝑅.

Find the potential drop across 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power supplied by the battery.

Q2:

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

Find the current through 𝑅.

Find the current through 𝑅.

Find the current through 𝑅.

Find the current through 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Q4:

Consider the circuit below.

Find the equivalent resistance of the circuit.

Find the current through 𝑅.

Find the current through 𝑅.

Find the current through 𝑅.

Find the current through 𝑅.

Find the potential drop across 𝑅.

Find the potential drop across 𝑅.

Find the potential drop across 𝑅.

Find the potential drop across 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Q5:

Consider the circuit shown.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Find 𝐼.

Find the power supplied by voltage source 𝑉.

Find the power supplied by voltage source 𝑉.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Find the power dissipated by 𝑅.

Q6:

Three resistors 𝑅=2.00 Ω, 𝑅=13.00 Ω, and 𝑅=6.00 Ω are connected as shown in the diagram.

What is the current 𝐼?

What is the current 𝐼?

Q7:

Consider the multipath circuit shown in the diagram.

Find the voltage 𝑉.

Find the current 𝐼.

Find the current 𝐼.

  • A1.2 A
  • B0.73 A
  • C4.9 A
  • D8.1 A
  • E3.3 A

Q8:

The junction rule can be applied to junction 𝑏 in the circuit shown. In modeling the currents in the circuit, state values to a precision of two significant figures.

Find 𝐼.

Find 𝐼.

Find 𝐼.

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