Two parallel conductors carry current in opposite directions as shown in figure. One conductor carries a current of 10.0 A. Point C is a distance \( \frac{d}{2} \) to the right of the 10.0 A current. If \( d = 18 \, \text{cm} \) and \( I \) is adjusted so that the magnetic field at C is zero, the value of the current \( I \) is
Two parallel conductors carry current in opposite directions as shown in figure. One conductor carries a current of 10.0 A. Point C is a distance \( \frac{d}{2} \) to the right of the 10.0 A current. If \( d = 18 \, \text{cm} \) and \( I \) is adjusted so that the magnetic field at C is zero, the value of the current \( I \) is
Show Hint
When dealing with magnetic fields due to currents, use Ampère's law to find the current required to cancel out the field at a given point.
- 10.0 A
- 30.0 A
- 8.0 A
- 18.0 A
The Correct Option is B
Solution and Explanation
Step 1: Use Ampère's law.
The magnetic field at point C due to the two currents must cancel each other out for the total magnetic field to be zero.
Step 2: Calculate the current \( I \).
By equating the magnetic fields due to both currents, we solve for \( I = 30.0 \, \text{A} \).
Final Answer: \[ \boxed{30.0 \, \text{A}} \]
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