AC Circuit Containing R and C Numerical Class-12 Nootan ISC Physics Solution Ch-12 Alternating Current. Step by step solutions of Kumar and Mittal Physics of Nageen Prakashan as council latest prescribe guideline for upcoming exam. Visit official Website CISCE for detail information about ISC Board Class-12 Physics.
AC Circuit Containing R and C Numerical Class-12 Nootan ISC Physics Solution Ch-12 Alternating Current
| Board | ISC |
| Class | 12 |
| Subject | Physics |
| Book | Nootan |
| Chapter-12 | Alternating Current |
| Topics | Numericals on AC Circuit Containing R and C |
| Academic Session | 2025-2026 |
Numericals on AC Circuit Containing R and C
Class-12 Nootan ISC Physics Solution Ch-12 Alternating Current.
Que-28: In the given AC circuit, find out the potential difference across the (i) resistor, (ii) capacitor.
Ans-
Que-29: A 5 V AC source is connected to a C-R circuit. The PD across C is 3 V. Find the PD across R.
Ans- V = √(Vc² + VR²)
=> 5 = √(3² + VR²)
=> VR² = 4 volt
Que-30: Find the impedance of the given circuit for
(i) direct current, (ii) alternating current of frequency (10 / pi) kHz.
Ans- (i) XC = 1/2πfC
for direct current f = 0
=> XC = ∞
∴ Z = ∞
again for AC
XC = 1/2πfC = 1/2π x 10/π x 10³ x 2 x 10^-6 = 25 Ω
∴ Z = √(Xc² + R²)
=> √(25² + 20²) = 32 Ω
Que-31: A capacitor in series with a resistance of 30 Ω is connected to AC mains. The reactance of the capacitor is 40 Ω. Calculate the phase difference between the current and the supply voltage.
Ans- tan φ = XC/R = 40/30
=> φ = tan^-1 (4/3)
Que-32: An alternating emf of 100 V-50 Hz is applied across a 10 µF capacitor and 100 Ω resistor in series. Calculate the reactance of the capacitor, the current flowing and the average power supplied.
Ans-
Que-33: A 50 W-100 V lamp is to be used at 200 V-50 Hz electric mains. Find the capacitance required to be connected in series with the lamp.
Ans- i = 50/100 = 0.5 A
VC= √(V² – VR²)
=> √(200² – (100)²) = 100√3
XC = VC/i = 100√3/0.5 = 200√3 Ω
XC = 1/2πfC
=> C = 1/XC.2πf
=> 1/(200√3 x 2 x 3.14 x 50) = 9.2 μF
— : End of AC Circuit Containing R and C Numerical Class-12 Nootan ISC Physics Solution Ch-12. :–
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