An aircraft of wingspan 50 m flies horizontally at an area where the vertical component of the Earth's magnetic field is 2.0 x 10^-5T. In order to produce an emf of 1 volt between the aircraft's wingtips, its speed should be:
Correct answer: A. 1000 m/s
- A. 1000 m/s
- B. 500 m/s
- C. 100 m/s
- D. 15000 m/s
- E. 250000 m/s
Explanation
The emf induced in a conductor moving with a velocity 'v' perpendicular to a magnetic field 'B' is given by the equation: emf = BvL where 'L' is the length of the conductor. In this case, the wingspan of the aircraft is 'L,' and the vertical component of the Earth's magnetic field is 'B'. Therefore, the emf induced between the wingtips is: emf = BvL The emf required to produce 1 volt is given as: emf = 1 volt Substituting the given values, we get: 1 volt = (2.0 x 10^-5 T) x (50 m) x v Solving for 'v', we get: v = 1000 m/s Therefore, the speed of the aircraft should be 1000 m/s to produce an emf of 1 volt between its wingtips.
This question appeared on the NUMS 2019 (cancelled sitting) paper, which you can sit online with every answer explained.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Faraday's Law
Faraday's law states that an induced electromotive force equals the rate of change of magnetic flux linkage through a circuit. Questions cover changing field, area, angle or motion, the negative sign associated with Lenz's law, and the distinction between induced emf and the current that may flow in a closed circuit.
Practise Electromagnetic Induction
291 free Electromagnetic Induction MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Faraday's Law questions
In a coil, when current changes from 10 A to 4 A in 1 s. An induced emf of 1.2 V is induced across the coil. The self - inductance of the coil is:
Alternating Current Generators use:
AC generator consists of _ poles:
Time-varying magnetic field creates an electric field, this is called _.
If the number of flux passing through a coil per unit time is doubled then the motion emf?
A conductor of length L is moved across a magnetic field. Due to this activity, a potential difference appears across the ends of the conductor. This type of potential difference is termed as: