How to Calculate the Resistance of a 5-Ampere Fuse Wire in a Circuit?

What is the resistance of a 5-ampere fuse wire that can withstand a maximum power of 1 watt in the circuit?

Choose one:

(a) 0.04 ohm

(b) 0.2 ohm

(c) 5 ohm

Answer:

The resistance of a 5-ampere fuse wire that can withstand a maximum power of 1 watt in the circuit is 0.04 ohm.

The resistance of a fuse wire in an electrical circuit plays a crucial role in determining the safety and proper functioning of the circuit. In this case, we are dealing with a 5-ampere fuse wire that can handle a maximum power of 1 watt.

To calculate the resistance of the fuse wire, we can use the formula R = P / I^2, where R is the resistance, P is the power, and I is the current. Given that the power is 1 watt and the current is 5 amperes, we can substitute these values into the formula:

R = 1 watt / (5 amperes)^2 = 1 watt / 25 amperes^2 = 0.04 ohm

Therefore, the resistance of the 5-ampere fuse wire in question is 0.04 ohm, which corresponds to option (a).