Advertisements
Advertisements
प्रश्न
The magnetic flux passing through a coil perpendicular to its plane is a function of time and is given by OB = (2t3 + 4t2 + 8t + 8) Wb. If the resistance of the coil is 5 Ω, determine the induced current through the coil at a time t = 3 second.
उत्तर
Magnetic flux (ΦB) = (2t3 + 8t2 + 8t + 8)Wb
Resistance of the coil (R) = 5 Ω
time (t) = 3 second
Induced current through the coil, I = `"e"/"R"`
Induced emf, e = `("d"Φ_"B")/"dt" = "d"/"dt"` ((2t3 + 4t2 + 8t + 8) = 6t2 + 8t + 8
Here time (t) = 3 second
e = 6(3)2 + 8 × 3 + 8 = 54 + 24 + 8 = 86 V
∴ Induced current through the coil, I = `"e"/"R" = 86/5 = 17.2`A
APPEARS IN
संबंधित प्रश्न
Draw a simple labeled diagram of a step-up transformer.
The diagram shows a rectangular coil ABCD, suspended freely between the concave pole pieces of a permanent horseshoe magnet, such that the plane of the coil is parallel to the magnetic field.
(i) State your observation, when current is switched on.
(ii) Give an explanation for your observation in (i).
(iii) State the rule, which will help you to find the motion of rotation of coil.
(iv) In which position will the coil ultimately come to rest?
(v) State four ways of increasing the magnitude of force acting on the coil.
State the condition at which we say the two coils kept close to each other are perfectly coupled with each other.
Obtain an expression for motional emf from Lorentz force.
A cylindrical bar magnet is kept along the axis of a circular coil. If the magnet is rotated about its axis, then ____________.
Ansari Sir was demonstrating an experiment in his class with the setup as shown in the figure below.
A magnet is attached to a spring. The magnet can go in and out of the stationary coil. He lifted the Magnet and released it to make it oscillate through the coil.
Based on your understanding of the phenomenon, answer the following question.
What will be observed when the Magnet starts oscillating through the coil. Explain the reason behind this observation.
Induced current flows through a coil ______.
For making a strong electromagnet the material of the core should be ______.
In the given circuit, initially switch S1 is closed and S2 and S3 are open. After charging of capacitor, at t = 0, S1 is open and S2 and S3 are closed. If the relation between inductance capacitance and resistance is L = 4CR2 then the time (in sec) after which current passing through capacitor and inductor will be same is ______ × 10-4 N. (Given R = ℓn(2)mΩ, L = 2mH)
Show that for a given positive ion species in a cyclotron, (i) the radius of their circular path inside a dee is directly proportional to their speed, and (ii) the maximum ion energy achievable is directly proportional to the square of the magnetic induction.
