Question

A particle carrying a charge 100 times the charge on an electron is rotating per second in a circular path of radius 0.8 m. The value of the magnetic field produced at the center will be:

• A. \( 10^{-7} \mu_0 \)
• B. \( 10^{-17} \mu_0 \)
• C. \( 10^{-6} \mu_0 \)
• D. \( 10^{-7} \mu_0 \)

Hint:

The magnetic field due to a moving charge is proportional to the charge, velocity, and radius.

Answer 1

The Correct Option is B

Step 1: Use the formula for magnetic field.
The magnetic field at the center of a circular path is given by: \[ B = \frac{\mu_0 I}{2 \pi r} \] where \( I \) is the current, and \( r \) is the radius.
Step 2: Explanation.
Since the charge is rotating, it behaves like a current, and the magnetic field produced is calculated using this formula.
Final Answer: \[ \boxed{10^{-17} \mu_0} \]