# Electric Circuits Questions and Solutions I

## Topic of electric circuits. Series-parallel connection of resistors. Finding the equivalent resistance in serial-parallel connected circuit. Calculation the current and voltage in series and parallel connected circuits. Questions and its solutions.

**Question 1**

In the circuit in the figure above, R1 = 2 Ω, R2 = 4 Ω, R3 = 2 Ω, R4 = 4 Ω, R5 = 20 Ω, R6 = 5 Ω, R7 = 4 Ω, R8 = 6 Ω, R9 = 3 Ω, R10 = 10 Ω

Which of the following options is equal to the equivalent resistance of the circuit shown in the figure above?

A) 5 Ω B) 10.3 Ω C) 16.8 Ω

D) 10 Ω E) 24.5 Ω

**Question 2**

In the circuit in the figure above, R1 = 6 Ω, R2 = 9 Ω, R3 = Ω, R4 = 9 Ω, R5 = 1 Ω, R6 = 6 Ω, R7 = 3 Ω, R8 = 4 Ω, R9 = 10 Ω, R10 = 15 Ω, R11 = 4 Ω

Which of the following options is equal to the equivalent resistance of the circuit shown in the figure above?

A)30 Ω B) 26 Ω C) 20 Ω

D) 16 Ω E) 12 Ω

**Question 3**

In the circuit in the figure above, R1 = 12 Ω, R2 = 12 Ω, R3 = 6 Ω, R4 = 7 Ω, R5 = 4 Ω, R6 = 6 Ω, R7 = 2.6 Ω, R8 = 6 Ω.

In the circuit, the voltage drop across R3 is V3 and the voltage drop across R5 is V5.

What is the sum of V3 + V5?

A) 48 V B) 42 V C) 36 V

D) 30 V E) 24 V

**Question 4**

In the circuit in the figure above, R1 = 5 Ω, R2 = 3 Ω, R3 = 2 Ω, R4 = 4 Ω, R5 = 8 Ω, R6 = 3 Ω, R7 = 4 Ω, R8 = 12 Ω, R9 = 6 Ω, R10 = 2 Ω dur.

The potential difference of the voltage source is 60 V.

Current flowing through the resistor R2 is I2, current flowing through the resistor R6 is I6, current flowing through the resistor R9 is I9.

What is the sum of the I2 + I6 + I9?

A) 4 A B) 6 A C) 8A

D) 10 A E) 12 A

**Question 5**

In the circuit in the figure above, R1 = 2Ω, R2 = 15 Ω, R3 = 2.8 Ω, R4 = 4 Ω, R5 = 6 R6 = 12 Ω, R7 = 8 Ω, R8 = 4 Ω dur.

The potential difference of the voltage source is 36 V.

The voltage drop across resistor R4 is V4, the voltage drop across resistor R7 is V7.

What is the sum of the V4 + V7?

A) 10.5 V

B) 12.96 V

C) 15 V

D) 17.42 V

E) 19.12 V

**Question 6**

Three resistors with 20, 60 and 10 Ohm values were connected in parallel.

What is the value of the resistor that must be connected in series to the circuit in order to have the equivalent resistance of the circuit to be 8 Ohm?

A) 2 Ω B) 3 Ω C) 5 Ω

D) 7 Ω E) 10 Ω

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November 3 2018

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