Torque and Magnetic Induction Concepts

The video tutorial explains the interaction between a large horizontal coil and a smaller coil placed at its center. It covers the calculation of the magnetic moment of the smaller coil and the magnetic induction produced by the larger coil. The tutorial then demonstrates how to find the torque experienced by the smaller coil due to its placement in the magnetic field of the larger coil, using the right-hand thumb rule and vector cross product. The final result is the expression for the net torque on the smaller coil.

What is the primary task in the problem involving the two coils?

• To measure the angle between the coils

• To calculate the torque experienced by the smaller coil

• To determine the radius of the larger coil

• To find the current in the smaller coil

How is the magnetic moment of the smaller coil calculated?

• By adding the currents of both coils

• By dividing the current by the area of the coil

• By multiplying the current with the radius of the larger coil

• By the product of current, area enclosed by the coil, and number of turns

What rule is used to determine the direction of the magnetic moment?

• Ampere's rule

• Fleming's left-hand rule

• Right-hand thumb rule

• Left-hand rule

What is the expression for the magnetic induction at the center of the large coil?

• mu not i by 2 pi r

• mu not i by 2-r

• mu not i by r

• mu not i by 4 pi r

In which direction does the magnetic induction vector point?

• Inward

• Upward

• Sideways

• Downward

What is the angle between the magnetic induction vector and the magnetic moment vector?

• 2 theta

• Pi by 2 plus theta

• Pi by 2

• Theta

How is the direction of the torque vector determined?

• By the direction of the current

• By the right-hand thumb rule

• By the angle of the coil

• By the left-hand rule

What is the expression for the magnitude of the torque on the smaller coil?

• n i pi r square multiplied by mu not i by 2 r sin theta

• n i pi r square multiplied by mu not i by 2 r cos theta

• n i pi r square divided by mu not i by 2 r

• n i pi r square plus mu not i by 2 r

What is the direction of the torque experienced by the smaller coil?

• Clockwise

• Downward

• Inward

• Anticlockwise

Which factor is NOT part of the final torque expression?

• Number of turns

• Length of the coil

• Radius of the larger coil

• Angle theta