Physics NCERT Exemplar Solutions Class 12th Chapter Seven

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Payal Gupta

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(a, d) inductive reactance XL= 2 πϑ L

 
For an LCR circuit Z= R2+ (XL-XC) 2

As frequency (ν) increases, Z decreases and at certain value of frequency know as resonant frequency (ν0), impedance Z is minimum that is Zmin= R current varies inversely with impedance and at Zmin current is maximum.

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Payal Gupta

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This is a multiple choice answer as classified in NCERT Exemplar

Secondary voltage Vs= 24V

Power associated with secondary Ps = 12W

IsPSVS = 12/24= 0.5A

I0= Is 2 = 1/ 2 A

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Payal Gupta

Contributor-Level 10

This is a multiple choice answer as classified in NCERT Exemplar

Average power dissipated is ErmsIrmscos

Z= R2+XL2

1+4 = 5

Irms= 6/ 5 A

cos  =R/Z=2/ 5

pav= 6 *65*25 = 14.4W

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Payal Gupta

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(c) As we know that Q= 1RLC to make Q high R should be low, L should be high and C should be low.

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Payal Gupta

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As we know resonant frequency is v0= 12πLc

To increase capacitance we must connect it to another capacitor parallel to the first.

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Payal Gupta

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(c) The voltmeter connected to AC Mains reads mean value (2>) and is calibrated in such a way that it gives value of, which is multiplied by form factor to give rms value.

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Payal Gupta

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(c) For delivering maximum power from the generator to the load, total internal reactance must be equal to conjugate of total external reactance.

XL=-Xg

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Payal Gupta

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(b) I02 Irms= 2  (5)A

I=I0sinwt = 5 2 sin π/3 = 5 32 A

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Payal Gupta

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An inductor opposes flow of current through it by developing a back emf according to Lenz's law. The induced voltage has a polarity so as to maintain the current at its present value. If the current is decreasing, the polarity of the induced emf will be so as to increase the current and vice -versa.

Since, the induced emf is proportional to the rate of change of current, it will provide greater reactance to the flow of current if the rate of change is faster, i.e., if the frequency is higher. The reactance of an inductor, therefore, is proportional to the frequency. Mat

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Payal Gupta

Contributor-Level 10

This is a short answer type question as classified in NCERT Exemplar

A capacitor does not allow flow of direct current through it as the resistance across the gap is infinite. When an alternating voltage is applied across the capacitor plates, the plates are alternately charged and discharged. The current through the capacitor is a result of this changing voltage (or charge).

Thus, a capacitor will pass more current through it if the voltage is changing at a faster rate, i.e. if the frequency of supply is higher. This implies that the reactance offered by a capacitor is less with increasing frequency.

Mathematically, the reactance can be

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