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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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

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.
Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

6.
Write any two features of nuclear forces.

Similar Physics Concepts

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.Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

4. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

6. Write any two features of nuclear forces.

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.
Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

4.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

5.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

6.
Write any two features of nuclear forces.