In an A.C. circuit, V and I are given by V=150 sin(150 t) volt and I=150 \(Sin(150 t+\frac {\pi}{3})\)A. The power dissipated in the circuit is
In an A.C. circuit, V and I are given by V=150 sin(150 t) volt and I=150 \(Sin(150 t+\frac {\pi}{3})\)A. The power dissipated in the circuit is
- 106 W
- 150 W
- 5625 W
- zero
The Correct Option is C
Solution and Explanation
Given \(V =150 \sin (150 t)\) volt
\(I=150 \sin (150 t+\frac{\pi}{ 3})\) A
\(\therefore I_{0}=150\) A
and \(V_{0}=150\) V
\(P =\frac{1}{2} V_{0} I_{0} \cos \phi\)
\(P =0.5 \times 150 \times 150 \times \cos 60^{\circ}\)
\(P =5625\, W\)
The correct option is(C): 5625 W.
Top Questions on Alternating current
Draw the plots showing the variation of magnetic flux φ linked with the loop with time t and variation of induced emf E with time t. Mark the relevant values of E, φ and t on the graphs.
- CBSE CLASS XII - 2025
- Physics
- Alternating current
- Differentiate between peak and rms values of alternating current. How are they related?
- CBSE CLASS XII - 2025
- Physics
- Alternating current
- An ammeter connected in series in an AC circuit reads \( 10 \, \text{A} \). The maximum value of current at any instant in the circuit is:
- CBSE CLASS XII - 2025
- Physics
- Alternating current
- An AC source is connected to a resistor and an inductor in series. The voltage across the resistor and inductor are 8 V and 6 V respectively. The voltage of the source is:
- CBSE CLASS XII - 2025
- Physics
- Alternating current
- An alternating current is given by \( I = I_0 \cos (100\pi t) \). The least time the current takes to decrease from its maximum value to zero will be:
- CBSE CLASS XII - 2025
- Physics
- Alternating current
Questions Asked in KCET exam
- A series LCR circuit containing an AC source of 100V has an inductor and a capacitor of reactances 24\(\Omega\) and 16\(\Omega\) respectively. If a resistance of 6\(\Omega\) is connected in series, then the potential difference across the series combination of inductor and capacitor will be
- KCET - 2025
- Electromagnetic waves
- A scientist wants to produce virus-free plant in tissue culture. Which part of the plant will he use as an explant? a) mature stem b) axillary meristem c) apical meristem d) mesophyll cell Choose the correct option from the following.
- KCET - 2025
- Tissue Culture
A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point O through strings as shown in the figure. To achieve equilibrium, the coefficient of static friction between the block on the floor and the floor itself is
- KCET - 2025
- Newtons Laws of Motion
In an experiment to determine the figure of merit of a galvanometer by half deflection method, a student constructed the following circuit. He applied a resistance of \( 520 \, \Omega \) in \( R \). When \( K_1 \) is closed and \( K_2 \) is open, the deflection observed in the galvanometer is 20 div. When \( K_1 \) is also closed and a resistance of \( 90 \, \Omega \) is removed in \( S \), the deflection becomes 13 div. The resistance of galvanometer is nearly:
- KCET - 2025
- Viscosity
- If \( A \) is a square matrix of order \( 3 \times 3 \), \( \det A = 3 \), then the value of \( \det(3A^{-1}) \) is:
- KCET - 2025
- Matrices
Concepts Used:
Alternating Current
An alternating current can be defined as a current that changes its magnitude and polarity at regular intervals of time. It can also be defined as an electrical current that repeatedly changes or reverses its direction opposite to that of Direct Current or DC which always flows in a single direction as shown below.
Alternating Current Production
Alternating current can be produced or generated by using devices that are known as alternators. However, alternating current can also be produced by different methods where many circuits are used. One of the most common or simple ways of generating AC is by using a basic single coil AC generator which consists of two-pole magnets and a single loop of wire having a rectangular shape.
Application of Alternating Current
AC is the form of current that are mostly used in different appliances. Some of the examples of alternating current include audio signal, radio signal, etc. An alternating current has a wide advantage over DC as AC is able to transmit power over large distances without great loss of energy.