Question

Two electric lamps of 100W and 25W respectively are connected in a parallel to a supply voltage of 200V.Calculate the total current following thrugh the circuit.

Answer 1

Answer:

The correct answer will be -

The total current through the circuit is 0.625 A.

Explanation:

Given in the question -

• Two lamps of 100 W and 25 W are connected in parallel.
• Both are connected in parallel to a 200 V supply voltage.

We have to calculate the total current through the circuit.

Now given both lamps are in parallel the voltage across them will be the same. Let the current through lamp 1 is I₁ and from Lamp 2 it is I₂.

Also, we know that -

P = VI

For lamp 1 -

$P = VI\\100 = 200\times I_1\\\\I_1 = 0.5 \ A$

For lamp 2 -

$P = VI\\\\25 = 200\times I_2\\\\I_2 = 0.125\ A$

So total current I will be -

$I = I_1+I_2=0.5+0.125=0.625\ A$

So total current through the circuit is 0.625 A.

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Answer 2

Answer:

The correct answer will be -

The total current through the circuit is 0.625 A.

Explanation:

Given in the question -

Two lamps of 100 W and 25 W are connected in parallel.

Both are connected in parallel to a 200 V supply voltage.

We have to calculate the total current through the circuit.

Now given both lamps are in parallel the voltage across them will be the same. Let the current through lamp 1 is I₁ and from Lamp 2 it is I₂.

Also, we know that -

P = VI

For lamp 1 -

\begin{gathered}P = VI\\100 = 200\times I_1\\\\I_1 = 0.5 \ A\end{gathered}

P=VI

100=200×I

1

I

1

=0.5 A

For lamp 2 -

\begin{gathered}P = VI\\\\25 = 200\times I_2\\\\I_2 = 0.125\ A\end{gathered}

P=VI

25=200×I

2

I

2

=0.125 A

So total current I will be -

I = I_1+I_2=0.5+0.125=0.625\ AI=I

1

+I

2

=0.5+0.125=0.625 A

So total current through the circuit is 0.625 A.