Question

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

a.
5.6 amps
b.
0.16 amps
c.
6.4 amps
d.
0.18 amps

Answer 1

Hence, the correct answer is:

Option : a

a. 5.6 amps

Explanation:

It is given that:

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.

This means that:

`I\propto (1)/(R)`

Hence, we get the relation as:

`(I_1)/(I_2)=(R_2)/(R_1)`

where
`R_1` is the resistance corresponding to the current
`I_1`

and
`R_2` is the resistance corresponding to the current
`I_2`

We have:

`I_1=6\ ,\ R_1=722\ ,\ R_2=768`

Hence, we get:

`(6)/(I_2)=(768)/(722)\\\\\\i.e.\\\\\\I_2=(722* 6)/(768)\\\\\\I_2=5.6406\ amperes`

Hence, the answer is:

Option : a