Question

Find the force that must be exerted on the rod to maintain a constant current of 0.173 A in the resistor.

Answer 1

Complete Question

Find the force that must be exerted on the rod to maintain a constant current of 0.173 A in the resistor.

The figure below shows a zero-resistance rod sliding to the right on two zero-resistance rails separated by the distance L = 0.451 m . The rails are connected by a
`12.6 \Omega \   resistor`, and the entire system is in a uniform magnetic field with a magnitude of 0.751 T .

The diagram illustrating this question is shown on the first uploaded image

Answer:

The value is
`F =  0.0586 \ N`

Step-by-step explanation:

From the question we are told that

The current is
`I  =  0.173 \ A`

The length of separation is
`L= 0.451 \ m`

The resistance is
`12.6 \Omega`

The magnetic field is
`B  =   0.751\  T`

Generally the force is mathematically represented as

`F =  BIL sin (\theta )`

Given that the velocity is perpendicular to magnetic field then
`\theta  =  90`

=>
`sin(90)  =  1`

So

`F =  0.751 *0.173  * 0.451 sin (\theta )`

`F =  0.751 *0.173  * 0.451 * 1`

`F =  0.0586 \ N`