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प्रश्न
State the principle of the step-down transformer and its working.
उत्तर
Principle: A transformer is based on the principle of electromagnetic mutual induction, i.e., whenever the amount of magnetic flux linked with a coil changes, an e.m.f. is induced in the neighboring coil.
Working
Alternating emf is supplied to the primary coil PP’. The resulting current induces a current in the secondary coil.
Magnetic flux linked with primary is also linked with the secondary. The induced emf in each turn of the secondary is equal to that induced in each turn of the primary.
Let
EP − Alternating emf applied to primary
nP − Number of turns in the primary
`(dphi)/dt-"Rate of change of flux through each turn of primary coil"`
`:.E_p=-n_p (dphi)/dt" ......(1)"`
Es− Alternating emf of secondary
ns − Number of turns in secondary
`:.E_s=-n_s (dphi)/dt" ....(2)"`
Dividing equation (2) by (1),
`E_s/E_p=n_s/n_p=k`
For step-up transformer, K > 1
∴ Es > Ep
For step-down transformer, K < 1
∴ Es < Ep
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संबंधित प्रश्न
Draw a labeled diagram of a step-down transformer.
A transformer converts 240 V AC to 60 V AC. The secondary has 75 turns. The number of turns in primary are _______.
(A) 600
(B) 500
(C) 400
(D) 300
Which coil of a step up transformer is made thicker and why?
Describe briefly, with the help of labelled diagram, working of a step-up transformer.
A step-up transformer converts a low voltage into high voltage. Does it not violate the principle of conservation of energy? Explain.
An a.c generator generates an emf 'ε' where ε = 314 Sin (50πt) volt. Calculate the frequency of emf ε.
A 200V/120V step-down transformer of 90% efficiency is connected to an induction stove of resistance 40 Ω. Find the current drawn by the primary of the transformer.
For an ideal step-down transformer, the quantity which is constant for both the coils is ______.
Draw the effective equivalent circuit of the circuit shown in figure, at very high frequencies and find the effective impedance.
1 MW power is to be delivered from a power station to a town 10 km away. One uses a pair of Cu wires of radius 0.5 cm for this purpose. Calculate the fraction of ohmic losses to power transmitted if
- power is transmitted at 220 V. Comment on the feasibility of doing this.
- a step-up transformer is used to boost the voltage to 11000 V, power transmitted, then a step-down transfomer is used to bring voltage to 220 V. (ρCu = 1.7 × 10–8 SI unit)
The primary coil of a transformer has 60 turns whereas its secondary coil has 3000 turns.
If a current of 5A flows in the primary coil, how much current will flow in a load in the secondary coil? State the assumption you have made regarding the transformer, in this calculation.
