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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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.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.
Write two advantages of reflecting telescope over refracting telescope.

5.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

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Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

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.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.Write two advantages of reflecting telescope over refracting telescope.

5.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

6.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.
Write two advantages of reflecting telescope over refracting telescope.

5.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

6.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?