MHT CET · Physics · Alternating Current
In an AC circuit, the instantaneous values of emf and current are \(e=200 \sin 314 t\) volt and \(I=\sin \left(314 t+\frac{\pi}{3}\right)\) amp. The average power consumed in watt is
- A 200
- B 100
- C 50
- D 25
Answer & Solution
Correct Answer
(C) 50
Step-by-step Solution
Detailed explanation
\(V_{\mathrm{rms}}=\frac{200}{\sqrt{2}}, I_{\mathrm{rms}}=\frac{1}{\sqrt{2}}\)
\(\therefore P=V_{\mathrm{rms}} I_{\mathrm{rms}} \cos \phi\)
\(
=\frac{200}{\sqrt{2}} \frac{1}{\sqrt{2}} \cos \frac{\pi}{3}=50 \mathrm{~W}
\)
\(\therefore P=V_{\mathrm{rms}} I_{\mathrm{rms}} \cos \phi\)
\(
=\frac{200}{\sqrt{2}} \frac{1}{\sqrt{2}} \cos \frac{\pi}{3}=50 \mathrm{~W}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- If the conductance and capacitance are both doubled in \(L-C\) - \(R\) circuit, the resonant frequency of the circuit willMHT CET 2012 Medium
- \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) are three parallel conductors of equal lengths and carry currents I, I and 2I respectively as shown in figure. Distance \(A B\) and \(B C\) is same as ' \(d\) '. If ' \(F_1\) ' is the force exerted by \(\mathrm{B}\) on \(\mathrm{A}\) and \(\mathrm{F}_2\) is the force exerted by \(\mathrm{C}\) on \(\mathrm{A}\), then
MHT CET 2023 Hard - Energy per unit volume for a capacitor having area \(A\) and separation \(d\) kept at potential difference \(V\) is given byMHT CET 2011 Medium
- In an oscillator, if ' \(\beta^{\prime}\) is the feedback factor and 'A' is the gain of amplifier then
sustained oscillations are obtained whenMHT CET 2020 Easy - If the frequency of incident light falling on a metallic surface is doubled, maximum kinetic energy of emitted photoelectronsMHT CET 2020 Easy
- A black body has maximum wavelength ' \(\lambda_{\mathrm{m}}\) ' at temperature 2000 K . Its maximum wavelength at 3000 K will beMHT CET 2025 Easy
More PYQs from MHT CET
- The distance of the point \((5,3,-1)\) from the plane passing through points \((2,1,0),(3,-2,4)\) and \((1,-3,3)\) isMHT CET 2025 Medium
- The pitch of a whistle of an engine appears to drop by \(30 \%\) of original value when it passes a stationary observer. If the speed of sound in air is \(350 \mathrm{~ms}^{-1}\), then the speed of engine in \(\mathrm{ms}^{-1}\) isMHT CET 2024 Easy
- During translation in protein synthesis, joining of larger and smaller subunit of ribosome requires __________ ions.MHT CET 2022 Hard
- Values of \(\mathrm{c}\) as per Rolle's theorem for \(f(x)=\sin x+\cos x+6\) on \([0,2 \pi]\) areMHT CET 2023 Easy
- Calculate the conductivity of \(0.02 \mathrm{M}\) electrolyte solution if its molar conductivity is \(407.2 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\) ?MHT CET 2023 Medium
- Which hormone is produced mostly in all parts of a plant?MHT CET 2020 Hard