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A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :
- a)2 x 10-4 N-m along positive Z -direction
- b)2 x 10-4 N-m along negative Z-direction
- c)2 x 10-4 N-m along positive X-direction
- d)2 x 10-4 N-m along positive Y-direction
Correct answer is option 'B'. Can you explain this answer?
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A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction...
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Given Information:
- Magnetic field strength (B) = 2 x 10^-3 T
- Area of the rectangular loop (A) = 20 cm x 10 cm = 200 cm^2 = 2 x 10^-2 m^2
- Current flowing through the loop (I) = 5 A
Calculating the Torque:
- The torque experienced by a current-carrying loop in a magnetic field is given by the formula:
τ = NIA x B
where N is the number of turns in the loop, I is the current, A is the area of the loop, and B is the magnetic field strength.
- In this case, N = 1 (as there is only one loop), I = 5 A, A = 2 x 10^-2 m^2, and B = 2 x 10^-3 T.
- Therefore, substituting the values into the formula:
τ = (1)(5)(2 x 10^-2)(2 x 10^-3) = 2 x 10^-4 N-m
Determining the Direction of the Torque:
- The direction of the torque can be determined by using the right-hand rule.
- In this case, the current is flowing in the anticlockwise direction with reference to the negative X-axis.
- Since the magnetic field is along the positive Y-direction, the torque would be along the negative Z-direction based on the right-hand rule.
Conclusion:
- Therefore, the magnitude of the torque is 2 x 10^-4 N-m along the negative Z-direction, which corresponds to option 'B'.
- Magnetic field strength (B) = 2 x 10^-3 T
- Area of the rectangular loop (A) = 20 cm x 10 cm = 200 cm^2 = 2 x 10^-2 m^2
- Current flowing through the loop (I) = 5 A
Calculating the Torque:
- The torque experienced by a current-carrying loop in a magnetic field is given by the formula:
τ = NIA x B
where N is the number of turns in the loop, I is the current, A is the area of the loop, and B is the magnetic field strength.
- In this case, N = 1 (as there is only one loop), I = 5 A, A = 2 x 10^-2 m^2, and B = 2 x 10^-3 T.
- Therefore, substituting the values into the formula:
τ = (1)(5)(2 x 10^-2)(2 x 10^-3) = 2 x 10^-4 N-m
Determining the Direction of the Torque:
- The direction of the torque can be determined by using the right-hand rule.
- In this case, the current is flowing in the anticlockwise direction with reference to the negative X-axis.
- Since the magnetic field is along the positive Y-direction, the torque would be along the negative Z-direction based on the right-hand rule.
Conclusion:
- Therefore, the magnitude of the torque is 2 x 10^-4 N-m along the negative Z-direction, which corresponds to option 'B'.
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A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer?
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A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer?.
A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform magnetic field of 2 x 10-3 T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is :a)2 x 10-4 N-m along positive Z -directionb)2 x 10-4 N-malong negative Z-directionc)2 x 10-4 N-malong positive X-directiond)2 x 10-4 N-malong positive Y-directionCorrect answer is option 'B'. Can you explain this answer?.
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