back to directory
NEET PHYSICSALTERNATING CURRENTEasy

Question

In an AC circuit, an alternating voltage ε=2002sin⁡(100t)\varepsilon = 200\sqrt{2}\sin(100t) V is connected to a capacitor of capacity 1μF1 \mu\text{F}. The RMS value of the current in the circuit is:

A

100 mA

B

200 mA

C

20 mA

D

10 mA

Step-by-Step Solution

  1. Identify Parameters: Compare the given voltage equation ε=2002sin⁡(100t)\varepsilon = 200\sqrt{2}\sin(100t) with the standard form V=Vmsin⁡(ωt)V = V_m \sin(\omega t). Peak Voltage Vm=2002V_m = 200\sqrt{2} V. Angular Frequency ω=100\omega = 100 rad/s.
  • Capacitance C=1μF=1×10−6C = 1 \mu\text{F} = 1 \times 10^{-6} F.
  1. Calculate Reactance: The capacitive reactance is XC=1ωC=1100×10−6=110−4=104 ΩX_C = \frac{1}{\omega C} = \frac{1}{100 \times 10^{-6}} = \frac{1}{10^{-4}} = 10^4 \, \Omega .
  2. Calculate RMS Voltage: Vrms=Vm2=20022=200V_{rms} = \frac{V_m}{\sqrt{2}} = \frac{200\sqrt{2}}{\sqrt{2}} = 200 V .
  3. Calculate RMS Current: Irms=VrmsXC=200104=0.02I_{rms} = \frac{V_{rms}}{X_C} = \frac{200}{10^4} = 0.02 A.
  4. Convert Units: 0.02 A=200.02 \text{ A} = 20 mA.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from ALTERNATING CURRENT. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSALTERNATING CURRENTcircuitalternatingvoltagevarepsilonsqrtsint

More ALTERNATING CURRENT Questions

View all

In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of the supply. Which of the following elements are likely to constitute the circuit? (a) Only resistor (b) Resistor and an inductor (c) Resistor and a capacitor (d) Only a capacitor

A.(b), (c)
B.(a), (d)
C.(b), (d)
D.(c), (d)
MediumSolve

An AC source given by $V = V_m \sin(\omega t)$ is connected to a pure inductor $L$ in a circuit and $I_m$ is the peak value of the AC current. The instantaneous power supplied to the inductor is:

A.$\frac{V_m I_m}{2} \sin(2\omega t)$
B.$-\frac{V_m I_m}{2} \sin(2\omega t)$
C.$V_m I_m \sin^2(\omega t)$
D.$-V_m I_m \sin^2(\omega t)$
MediumSolve

A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6A, the voltage across the secondary coil and the current in the primary coil respectively are:

A.300 V, 15 A
B.450 V, 15 A
C.450 V, 13.5 A
D.600 V, 15 A
MediumSolve

A standard filament lamp consumes 100 W when connected to a 200 V AC mains supply. The peak current through the bulb will be:

A.0.707 A
B.1 A
C.1.414 A
D.2 A
EasySolve

The net impedance of the circuit (as shown in the figure) will be:

A.25 $\Omega$
B.$10\sqrt{2} \ \Omega$
C.15 $\Omega$
D.$5\sqrt{5} \ \Omega$
MediumSolve

A 12 V, 60 W lamp is connected to the secondary of a step-down transformer, whose primary is connected to AC mains of 220 V. Assuming the transformer to be ideal, what is the current in the primary winding?

A.0.37 A
B.0.27 A
C.2.7 A
D.3.7 A
EasySolve

The variation of EMF with time for four types of generators is shown in the figures. Which amongst them can be called AC voltage?

A.(a) and (d)
B.(a), (b), (c), and (d)
C.(a) and (b)
D.only (a)
EasySolve

An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance R are connected in series to an AC source of potential difference V volts. The potential difference across L, C and R is 40 V, 10 V and 40 V, respectively. The amplitude of the current flowing through the LCR series circuit is $10\sqrt{2}$ A. The impedance of the circuit will be:

A.4 $\Omega$
B.5 $\Omega$
C.$4\sqrt{2} \ \Omega$
D.$5\sqrt{2} \ \Omega$
MediumSolve

Why 32,000+ students choose TopperSquare

Everything you need to crack NEET

15,000+ Chapter MCQs

Physics, Chemistry, Biology — chapter-wise, topic-wise practice

AI Performance Analytics

Know your weak topics. Get a personalised study plan.

Full NEET Mock Tests

180 questions, timed, with detailed score analysis

PYQ Sets 2010–2024

15 years of past papers with solved explanations

Start Practising Free

No credit card · 30-second signup · Free forever plan included

This neet physics practice question is part of the TopperSquare free question bank. TopperSquare offers 15,000+ chapter-wise NEET MCQs across Physics, Chemistry, and Biology with detailed step-by-step explanations, full mock tests, NEET PYQs (2010–2024), and an AI-powered performance analytics dashboard. browse all neet practice questions → · practice physics sets →

Explore more subjects:Physics MCQs•Chemistry MCQs•Biology MCQs•Botany MCQs•Zoology MCQs•NEET Mock Tests•NEET PYQs