# A circuit with a resistance of 4 Omega has a fuse melts at 6 A. Can a voltage of 12 V be applied to the circuit without blowing the fuse?

Jan 23, 2016

Yes

#### Explanation:

Data:-

Resistance$= R = 4 \Omega$

Voltage$= V = 12 V$

The fuse melts at 6A

Sol:-

If we apply voltage $V$ across a resistor whose resistance is $R$ then the current $I$ flowing across it can be calculated by

$I = \frac{V}{R}$

Here we are applying voltage of $12 V$ across a $4 \Omega$ resistor, therefore, the current flowing is

$I = \frac{12}{4} = 3$ $\implies I = 3 A$

Since, the fuse melts at $6 A$ but the current flows only $3 A$ therefore, the fuse will not melt. Thus, the answer to this question is yes.