# A circuit with a resistance of 7 Omega has a fuse melts at 6 A. Can a voltage of 14 V be applied to the circuit without blowing the fuse?

Jan 26, 2016

$Y e s$

#### Explanation:

Data:-

Resistance$= R = 7 \Omega$

Voltage$= V = 14 V$

The fuse has capacity of 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 $14 V$ across a $7 \Omega$ resistor, therefore, the current flowing is

$I = \frac{14}{7} = 2$ $\implies I = 2 A$

Since, the fuse has capacity of $6 A$ but the current flowing in the circuit is $2 A$ therefore, the fuse will not melt. Thus, the answer to this question is $Y e s$.