Question

A resistor is rated 10 ohm, 0.25w, What is the maximum current the resistar can withstand? ​

Answer 1

Answer:

Resistance=R=10ohm

Power=0.25w=P

Current=I=?

We know that

\boxed{\sf P=I^2R}

P=I

2

R

\begin{gathered}\\ \sf\longmapsto I^2=\dfrac{P}{R}\end{gathered}

⟼I

2

=

R

P

\begin{gathered}\\ \sf\longmapsto I^2=\dfrac{0.25}{10}\end{gathered}

⟼I

2

=

10

0.25

\begin{gathered}\\ \sf\longmapsto I^2=2.5\end{gathered}

⟼I

2

=2.5

\begin{gathered}\\ \sf\longmapsto I=\sqrt{2.5}\end{gathered}

⟼I=

2.5

\begin{gathered}\\ \sf\longmapsto I=1.5A\end{gathered}

⟼I=1.5A