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प्रश्न
What are the values of the self-induced emf in the circuit of the previous problem at the times indicated therein?
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उत्तर
Given:-
Self-inductance, L = 1 H
For an inductor of self-inductance L, the emf induced is given by
`e = L(di)/(dt)`
(a) At t = 100 ms,
`(di)/(dt)=0.27"A/s"`
∴ Induced emf, `e = L(di)/(dt)=1xx0.27=0.27 V`
(b) At t = 200 ms,
`(di)/(dt)=0.036"A/s"`
∴ Induced emf `= L(di)/(dt)=1xx0.036=0.036V`
(c) At t = 1 s,
`(di)/(dt)=4.1xx10^-9"A/s"`
∴ Induced emf `=L(di)/(dt)=4.1xx10^-9V`
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संबंधित प्रश्न
Define self-inductance. Write its SI units.
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(a) self-inductance
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(c) magnetic field energy if the same current goes through them
(d) time constant if one solenoid is connected to one battery and the other is connected to another battery.
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Explain why the inductance of two coils connected in parallel is less than the inductance of either coil.
A toroidal solenoid with air core has an average radius 'R', number of turns 'N' and area of cross-section 'A'. The self-inductance of the solenoid is (Neglect the field variation cross-section of the toroid)
Magnetic flux of 12 microweber is linked with a coil. When current of 3 mA flows through it, the self inductance of the coil is ____________.
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(Assume that, l = current passes through the turns, µ0 = Permeability of vacuum)
Calculate the self-inductance of a coil using the following data obtained when an AC source of frequency `(200/pi)` Hz and a DC source are applied across the coil.
| AC Source | ||
| S.No. | V (volts) | I (A) |
| 1 | 3.0 | 0.5 |
| 2 | 6.0 | 1.0 |
| 3 | 9.0 | 1.5 |
| DC Source | ||
| S.No. | V (volts) | I (A) |
| 1 | 4.0 | 1.0 |
| 2 | 6.0 | 1.5 |
| 3 | 8.0 | 2.0 |
A toroid of a circular cross-section of radius 0.05 m has 2000 windings and a self-inductance of 0.04 H. What is (a) the current through the windings when the energy in its magnetic field is 2 × 10−6 J and (b) the central radius of the toroid?
What does \[I\] represent, and what is its SI unit?
What does \[\varepsilon\] represent, and what is its SI unit?
Which set gives equivalent units for one henry?
What is the dimensional formula of self-inductance?
For a long solenoid of length \[l\] with \[N\] total turns, what is the number of turns per unit length?
For an air (or vacuum) core, which permeability is used in the solenoid derivation?
