Question

The resistance (R) in a wire increases when the length of the wire (L) increases. Write the correct equation for this scenario and solve for when the length is 1.

Length 10 resistance 2
15 3


.

Answer 1

When length is 10, resistance is 2
when length is 15, resistance is 3
according to question
\[length \space\ \alpha \space\ resistance\]
(length is directly proportional to resistance)
\[l \space= k*r\]
\[10 \space= k*2\]
thus
\[k \space= 5\]
thus
\[l \space= 5*r\]
so for length = 1
\[1 \space= 5*r\]
\[1/5 \space= r\]