A circuit with a resistance of #6 Omega# has a fuse that melts at #8 A#. Can a voltage of #21 V# be applied to the circuit without blowing the fuse?

1 Answer
Jan 9, 2016

It works without melting.

Explanation:

To solve it, we apply the resistance formula:
#"Resistance" = "Voltage"/"Current"#
If #"Current >= 8#, the circuit wont work.

So, we check the limit of the voltage, when Current is 8, and if the voltage is higher than 21, the circuit will work:
#6 = "Voltage"_("limit")/8 => "Voltage" = 6 * 8 = 48 V#

So, 21 < 48. It works without melting.