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?

Question

1812 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-23T18:54:37

Yes

Data:-

Resistance $=R=4Omega$

Voltage $=V=12V$

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

$I=V/R$

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

$I=12/4=3$ $implies I=3A$

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

A circuit with a resistance of 4 Omega4 Omega has a fuse melts at 6 A6 A. Can a voltage of 12 V12 V be applied to the circuit without blowing the fuse?