In which of the following cases is the magnetic field zero?

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Question: In which of the following cases is the magnetic field zero?

Options:

At the center of a current-carrying loop
Inside a solenoid with no current
Near a straight wire carrying current
At the midpoint between two parallel wires carrying equal currents in opposite directions

Correct Answer: At the midpoint between two parallel wires carrying equal currents in opposite directions

Solution:

The magnetic field is zero at the midpoint between two parallel wires carrying equal currents in opposite directions.

In which of the following cases is the magnetic field zero?

At the center of a current-carrying loop
Inside a solenoid with no current
Near a straight wire carrying current
At the midpoint between two parallel wires carrying equal currents in opposite directions

In which of the following cases is the magnetic field zero?

Step 1: Understand that a magnetic field is created around a wire when an electric current flows through it.
Step 2: Recognize that two parallel wires can create magnetic fields that interact with each other.
Step 3: If both wires carry equal currents but in opposite directions, their magnetic fields will oppose each other.
Step 4: Find the midpoint between the two wires. This is the point that is equidistant from both wires.
Step 5: At the midpoint, the magnetic fields from both wires will cancel each other out because they are equal in strength but opposite in direction.
Step 6: Conclude that the magnetic field is zero at this midpoint between the two wires.

Magnetic Field Due to Current-Carrying Wires – The magnetic field generated by parallel wires depends on the direction and magnitude of the currents flowing through them.
Superposition Principle – The total magnetic field at a point is the vector sum of the magnetic fields produced by each wire.
Direction of Magnetic Field – The direction of the magnetic field around a current-carrying wire can be determined using the right-hand rule.