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Q.

Choose correct statement if capacitance increases from zero (0) to infinity :

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a

Reading of voltmeter first increases and it will be maximum when XL=XC and then decreases.

b

Power factor of circuit first increases then decreases.

c

Current increases from 0 (Zero) to maximum then decreases to zero.

d

V1 may be greater than V, V1 may be equal V, V1 may be less than V, where V1 is reading of voltmeter and V is source voltage.

answer is A, B, C, D.

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Detailed Solution

(i) When capacitance is zero, circuit contains inductor and resistor and so the current will be zero and then it starts increasing to maximum value when XL = XC. After that, current will start decreasing when XC > XL.

(ii) V1= iR2 + XL2

i=VR2+XLXC2XC=1ωC, C is variable.

Here V1 is directly proportional to i and will behave in same way as i changes.

(iii) Power factor, cosϕ=RZ, Z is decreasing first and then increases.

(iv) 
V1=VR2 + XL2R2+XLXC2 V1= V when XC = 0 V1 > V when XL > XL - XC V1 < V when XL < XL - XC

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