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प्रश्न
The currents flowing in the two coils of self-inductance L1 = 16 mH and L2 = 12 mH are increasing at the same rate. If the power supplied to the two coil is equal, find the ratio of the energies stored in the two coils at a given instant ?
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उत्तर
Energy stored, \[E = \frac{1}{2}L I^2\]
\[\frac{E_1}{E_2} = \frac{L_1 {I_1}^2}{L_2 {I_2}^2} = \frac{16}{12} \times \frac{9}{16} = \frac{3}{4}\]
\[ \Rightarrow \frac{E_1}{E_2} = \frac{3}{4}\]
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संबंधित प्रश्न
Define the coefficient of self-induction.
Write the SI unit and dimention of of co-efficient of self induction
The currents flowing in the two coils of self-inductance L1 = 16 mH and L2 = 12 mH are increasing at the same rate. If the power supplied to the two coil is equal, find the ratio of the currents ?
A plot of magnetic flux (Φ) versus current (I) is shown in the figure for two inductors A and Β. Which of the two has larger value of self inductance?
Two solenoids have identical geometrical construction but one is made of thick wire and the other of thin wire. Which of the following quantities are different for the two solenoids?
(a) self-inductance
(b) rate of Joule heating if the same current goes through them
(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.
An inductor of inductance 5.0 H, having a negligible resistance, is connected in series with a 100 Ω resistor and a battery of emf 2.0 V. Find the potential difference across the resistor 20 ms after the circuit is switched on.
Two coils of wire A and B are placed mutually perpendicular as shown. When current is changed in any one coil.
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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The self-inductance depends upon ______.
