Question

The current in the circuit shown is 2.0 A.

Answer 1

The value of R3 is A) 10 Ω

Answer 2

Answer:

Resistor R₃ = 10 Ω

Explanation:

It is given that,

Current flowing in the circuit, I = 2 A

Resistors R₁ = 2 Ω

Resistor R₂ = 3 Ω

Voltage, V = 30 V

We have to find the value of R₃. All three resistors are connected in series. In series combination, the current flowing through the all resistors is same. Firstly, calculating equivalent resistance of three resistors as :

$R_{eq}=R_1+R_2+R_3$

$R_{eq}=2\ \Omega+3\ \Omega+R_3$    

$R_{eq}=5\ \Omega+R_3$..............(1)

Using Ohm's law : $V=IR_{eq}$

$30\ V=2\ A\times (5 + R_{3})$

On solving above equation : $R_3=10\ \Omega$

Hence, the correct option is (A) " 10 Ω "