To a resistor with 10 ohms, sinusoidal voltage v = 200 sin 314t is applied

In order to determine the given values,

RMS value of the voltage

\(V_{rms}\ =\ \frac{V_m}{sqrt2}\)

Replacing the values in the equation, we can obtain:

\(V_{rms}\ =\ \frac{200}{sqrt2} =\ 141.4 V\)

RMS value of the current

\(I_{rms}\ =\ {V_{rms} \over {R}}\)

Now, upon substitution,

\(I_{rms}\ =\ {141.4 \over 10} = 14.14\ A\)

Power dissipated as heat in Watt

\(P = V_{rms}I_{rms}cos{\theta}\)

On value substitution,

\(P = 141.4 {\times}14.14 = 1999.6 \ W\)

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Important Topics of Resistance
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Cells, emf, Internal Resistance	Derivation of Drift Velocity	Potentiometer
Combination of Resistors	Cells in Series and in Parallel	Voltage
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To a resistor with 10 ohms, sinusoidal voltage v = 200 sin 314t is applied. Calculate the values below.

RMS value of the voltage

RMS value of the current

Power dissipated as heat in Watt

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CBSE CLASS XII Related Questions

1.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

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Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

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Write any two features of nuclear forces.

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Comments

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To a resistor with 10 ohms, sinusoidal voltage v = 200 sin 314t is applied. Calculate the values below.

RMS value of the voltage

RMS value of the current

Power dissipated as heat in Watt

Related Questions

CBSE CLASS XII Related Questions

1.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

2.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

3. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4. Write any two features of nuclear forces.

5.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

6.Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

2.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

3.
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.
Write any two features of nuclear forces.

5.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

6.
Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.