Question

A 10 ampere fuse wire can withstand a maximum power of 1 watt in the circuit. The resistance of the fuse wire is:

• A. 1$\Omega$
• B. 0.5$\Omega$
• C. 0.1$\Omega$
• D. 0.01$\Omega$

Answer 1

Answer: (D)

0.01$\Omega$

Answer 2

The problem asks us to find the resistance of a fuse wire given its maximum current rating and the maximum power it can withstand.

We are given: Maximum current (I) = 10 A Maximum power (P) = 1 W

The relationship between power (P), current (I), and resistance (R) in an electrical circuit is given by the formula: $P = I^2 R$

To find the resistance (R), we can rearrange this formula: $R = \frac{P}{I^2}$

Now, substitute the given values into the formula: $R = \frac{1\, \text{W}}{(10\, \text{A})^2}$ $R = \frac{1}{100}\, \Omega$ $R = 0.01\, \Omega$

The calculated resistance matches option D.