High School

A 1.5m length straight wire experiences a maximum force of 2.0N when in a uniform magnetic field of 1.8T. What current must be passing through it?
a) 0.67 A
b) 0.89 A
c) 1.11 A
d) 1.33 A

Answer :

Final answer:

In a uniform magnetic field the current from the given values is 0.67A. Therefore, the correct answer is a) 0.67 A.

Explanation:

To find the current, we use the formula for the magnetic force on a current-carrying conductor: F = BIL where F is the magnetic force, B is the magnetic field strength, I is the current, and L is the length of the wire. The formula to calculate the magnetic force on a current-carrying wire in a magnetic field is:

F = BIL sin(theta)

Given that the wire length is 1.5m, force is 2.0N, and magnetic field is 1.8T, we can rearrange the formula to solve for current:

  • I = F / (B x L)

Plugging in the values, we get:

  • I = 2.0N / (1.8T x 1.5m) = 0.67A

Therefore, the correct answer is a) 0.67 A.

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