Question

What is the current in a circuit with a 2Ω resistor followed by a 3Ω resistor that are both in parallel with a 5Ω resistor? The voltage supplied to the circuit is 5V.


•1.5A

•5A

•0.25A

•1A

•2A​

Answer 1

• 1A correct option.

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Answer 2

Answer:

The current in the circuit is 2A.

Explanation:

The current through the circuit can be calculated as,

$I=\frac{V}{R}$         (1)

Where,

I=current through the circuit

V=voltage across the circuit

R=equivalent resistance of the circuit

From the question we have,

R₁=2Ω

R₂=3Ω

R₃=5Ω

V=5v

Since, a 2Ω resistor is followed by a 3Ω resistor their equivalent resistance will be,

$R_s=2\Omega+3\Omega=5\Omega$      (2)

And this combination is connected in parallel with a 5Ω resistor then the equivalent resistance of the circuit is,

$\frac{1}{R} =\frac{1}{5} +\frac{1}{5}$

$\frac{1}{R} =\frac{2}{5}$

$R=\frac{5}{2}$            (3)

By substituting the required values in equation (1) we get;

$I=\frac{5}{\frac{5}{2} }$

$I=\frac{5\times 2}{5}=2A$

Hence, the current in the circuit is 2A.