Worksheet: Parallel Circuits

In this worksheet, we will practice calculating the potential difference, current, and resistance at different points within simple parallel circuits.

Q1:

The diagram shows four circuits with components connected in parallel. Which two circuits are equivalent?

  • A(b) and (c)
  • B(a) and (b)
  • C(b) and (d)
  • D(a) and (d)
  • E(c) and (d)

Q2:

Elizabeth sets up the circuit shown in the diagram. The current through the first ammeter, 𝐼 1 , is 5 A. What is the value of 𝐼 t o t a l ? Give your answer to 1 decimal place.

Q3:

Isabella sets up the circuit shown in the diagram. Each resistor has a resistance of 10 Ω.

The value of 𝐼 2 is initially 3 A. What is the value of 𝐼 t o t a l ?

If 𝑆 1 is then closed, what happens to the value of 𝐼 2 ?

  • AIt decreases.
  • BIt stays the same.
  • CIt increases.

With 𝑆 1 still closed, is the resistance of the circuit lower than, higher than, or the same as it was when 𝑆 1 was open?

  • AHigher
  • BThe same
  • CLower

𝑆 1 and 𝑆 3 are kept closed, but 𝑆 2 is opened. Does the resistance in the circuit increase, decrease, or stay the same?

  • AIt increases.
  • BIt decreases.
  • CIt stays the same.

Q4:

A student sets up the circuit shown in the diagram. Initially, switch 1 is closed and switch 2 is open. If she opens switch 1 and closes switch 2, will the current in the circuit increase or decrease?

  • ADecrease
  • BIncrease

Q5:

A student sets up the circuit shown in the diagram. Initially, the switch is open. When the student closes the switch, will the current flowing through the circuit increase or decrease?

  • AIncrease
  • BDecrease

Q6:

The circuit shown in the diagram consists of two resistors connected in parallel to a cell. The value of 𝐼 t o t a l is equal to 30 A. What is the value of 𝐼  ?

Q7:

The circuit shown in the diagram consists of two resistors connected in parallel to a cell. The value of the current given by the second ammeter, 𝐼 2 , is 3 A. What is the value of 𝐼 t o t a l ?

Q8:

A student sets up the circuit shown in the diagram. The three resistors are identical. The value of 𝐼 t o t a l is 15 A. What is the value of 𝐼 3 ?

Q9:

A student sets up the circuit shown in the diagram. The value of 𝐼 t o t a l is 8 A and the value of 𝐼 1 is 6 A.

What is the value of 𝐼 2 ?

What is the potential difference supplied by the cell to the circuit?

Q10:

The diagram shows two resistors connected in parallel to a cell. If the potential difference across the 3 Ω resistor is 18 V, what is the potential difference across the 6 Ω resistor?

Q11:

The diagram shows two circuits. Are the circuits equivalent? If not, why not?

  • ANo, because the cell is connected in a different direction
  • BYes, the circuits are equivalent.
  • CNo, because the branches of the circuit are connected in a different direction
  • DNo, because one contains an ordinary diode and the other contains an LED
  • ENo, because one shows the current flowing in a certain direction and the other does not

Q12:

The diagram shows four circuits. Which circuit contains two resistors in parallel?

  • A(b)
  • B(a)
  • C(d)
  • D(c)

Q13:

The diagram shows four circuits. Which one shows a fuse and a filament lamp connected to a cell in parallel?

  • A(C)
  • B(A)
  • C(D)
  • D(B)

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