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AC (NCERT)

274620 Current in an ac circuit is given by $i = 3 sin ω t + 4 cos ω t$ then

1 rms value of current is 5 A

2 mean value of this current in one half period will be

6 / π

3 if voltage applied is

V = V_{m} sin ω t

then the circuit must be containing resistance and capacitance.

4 if voltage applied is

V = V_{m}

sin

ω t

, the circuit may contain resistance and inductance.

Explanation:

(c) $i = 3 sin ω t + 4 cos ω t$
$= 5 [\frac{3}{5} sin ω t + \frac{4}{5} cos ω t] = 5 [sin (ω t + δ)]$
$\Rightarrow$ rms value $= \frac{5}{\sqrt{2}} \Rightarrow$ mean value $= \frac{}{} i d t ∴$ initial value is not given hence the mean value will be difference for various time intervals.
If voltage applied is $V = V_{m}$ sin $ω t$ then $i$ given by eq. (1) indicates that it is ahead of $V$ by $δ$ where $0 < δ < 90^{\circ}$ which indicates that the circuit contains $R$ and $C$ .

NCERT Page-236 / N-180

AC (NCERT)

274621 An ac voltage is represented by $E = 220 \sqrt{2} cos (50 π) t$
How many times will the current become zero in $1 s$ ?

1 50times

2 100 times

3 30 times

4 25 times

NCERT Page-236 / N-180

AC (NCERT)

274622 A group of electric lamps having a total power rating of 1000 watt is supplied by an AC voltage $E = 200 sin (310 t + 60^{\circ})$ . Then the rms value of the circuit current is

1

10 A

2

10 \sqrt{2} A

3

20 A

4

20 \sqrt{2} A

NCERT Page-236 / N-180

AC (NCERT)

274623 The equation of alternating current is :
$I = 50 \sqrt{2} sin 400 π t$ amp. Then the frequency and root mean square of current are respectively

1

200 Hz, 50 amp

2

400 π Hz, 50 \sqrt{2} amp

3

200 Hz, 50 \sqrt{2} amp

4

50 Hz, 200 amp

Explanation:

(a) $2 π nt = 400 π t$
$∴ n = 200$
${I_{0}}^{\circ} = 50 \sqrt{2} amp$ .
r.m.s. current $= I_{0} / \sqrt{2} = 50 amp$ :

NCERT Page-236 / N-180

AC (NCERT)

274620 Current in an ac circuit is given by $i = 3 sin ω t + 4 cos ω t$ then

1 rms value of current is 5 A

2 mean value of this current in one half period will be

6 / π

3 if voltage applied is

V = V_{m} sin ω t

then the circuit must be containing resistance and capacitance.

4 if voltage applied is

V = V_{m}

sin

ω t

, the circuit may contain resistance and inductance.

Explanation:

(c) $i = 3 sin ω t + 4 cos ω t$
$= 5 [\frac{3}{5} sin ω t + \frac{4}{5} cos ω t] = 5 [sin (ω t + δ)]$
$\Rightarrow$ rms value $= \frac{5}{\sqrt{2}} \Rightarrow$ mean value $= \frac{}{} i d t ∴$ initial value is not given hence the mean value will be difference for various time intervals.
If voltage applied is $V = V_{m}$ sin $ω t$ then $i$ given by eq. (1) indicates that it is ahead of $V$ by $δ$ where $0 < δ < 90^{\circ}$ which indicates that the circuit contains $R$ and $C$ .

NCERT Page-236 / N-180

AC (NCERT)

274621 An ac voltage is represented by $E = 220 \sqrt{2} cos (50 π) t$
How many times will the current become zero in $1 s$ ?

1 50times

2 100 times

3 30 times

4 25 times

NCERT Page-236 / N-180

AC (NCERT)

274622 A group of electric lamps having a total power rating of 1000 watt is supplied by an AC voltage $E = 200 sin (310 t + 60^{\circ})$ . Then the rms value of the circuit current is

1

10 A

2

10 \sqrt{2} A

3

20 A

4

20 \sqrt{2} A

NCERT Page-236 / N-180

AC (NCERT)

274623 The equation of alternating current is :
$I = 50 \sqrt{2} sin 400 π t$ amp. Then the frequency and root mean square of current are respectively

1

200 Hz, 50 amp

2

400 π Hz, 50 \sqrt{2} amp

3

200 Hz, 50 \sqrt{2} amp

4

50 Hz, 200 amp

Explanation:

(a) $2 π nt = 400 π t$
$∴ n = 200$
${I_{0}}^{\circ} = 50 \sqrt{2} amp$ .
r.m.s. current $= I_{0} / \sqrt{2} = 50 amp$ :

NCERT Page-236 / N-180

AC (NCERT)

274620 Current in an ac circuit is given by $i = 3 sin ω t + 4 cos ω t$ then

1 rms value of current is 5 A

2 mean value of this current in one half period will be

6 / π

3 if voltage applied is

V = V_{m} sin ω t

then the circuit must be containing resistance and capacitance.

4 if voltage applied is

V = V_{m}

sin

ω t

, the circuit may contain resistance and inductance.

Explanation:

(c) $i = 3 sin ω t + 4 cos ω t$
$= 5 [\frac{3}{5} sin ω t + \frac{4}{5} cos ω t] = 5 [sin (ω t + δ)]$
$\Rightarrow$ rms value $= \frac{5}{\sqrt{2}} \Rightarrow$ mean value $= \frac{}{} i d t ∴$ initial value is not given hence the mean value will be difference for various time intervals.
If voltage applied is $V = V_{m}$ sin $ω t$ then $i$ given by eq. (1) indicates that it is ahead of $V$ by $δ$ where $0 < δ < 90^{\circ}$ which indicates that the circuit contains $R$ and $C$ .

NCERT Page-236 / N-180

AC (NCERT)

274621 An ac voltage is represented by $E = 220 \sqrt{2} cos (50 π) t$
How many times will the current become zero in $1 s$ ?

1 50times

2 100 times

3 30 times

4 25 times

NCERT Page-236 / N-180

AC (NCERT)

274622 A group of electric lamps having a total power rating of 1000 watt is supplied by an AC voltage $E = 200 sin (310 t + 60^{\circ})$ . Then the rms value of the circuit current is

1

10 A

2

10 \sqrt{2} A

3

20 A

4

20 \sqrt{2} A

NCERT Page-236 / N-180

AC (NCERT)

274623 The equation of alternating current is :
$I = 50 \sqrt{2} sin 400 π t$ amp. Then the frequency and root mean square of current are respectively

1

200 Hz, 50 amp

2

400 π Hz, 50 \sqrt{2} amp

3

200 Hz, 50 \sqrt{2} amp

4

50 Hz, 200 amp

Explanation:

(a) $2 π nt = 400 π t$
$∴ n = 200$
${I_{0}}^{\circ} = 50 \sqrt{2} amp$ .
r.m.s. current $= I_{0} / \sqrt{2} = 50 amp$ :

NCERT Page-236 / N-180

AC (NCERT)

274620 Current in an ac circuit is given by $i = 3 sin ω t + 4 cos ω t$ then

1 rms value of current is 5 A

2 mean value of this current in one half period will be

6 / π

3 if voltage applied is

V = V_{m} sin ω t

then the circuit must be containing resistance and capacitance.

4 if voltage applied is

V = V_{m}

sin

ω t

, the circuit may contain resistance and inductance.

Explanation:

(c) $i = 3 sin ω t + 4 cos ω t$
$= 5 [\frac{3}{5} sin ω t + \frac{4}{5} cos ω t] = 5 [sin (ω t + δ)]$
$\Rightarrow$ rms value $= \frac{5}{\sqrt{2}} \Rightarrow$ mean value $= \frac{}{} i d t ∴$ initial value is not given hence the mean value will be difference for various time intervals.
If voltage applied is $V = V_{m}$ sin $ω t$ then $i$ given by eq. (1) indicates that it is ahead of $V$ by $δ$ where $0 < δ < 90^{\circ}$ which indicates that the circuit contains $R$ and $C$ .

NCERT Page-236 / N-180

AC (NCERT)

274621 An ac voltage is represented by $E = 220 \sqrt{2} cos (50 π) t$
How many times will the current become zero in $1 s$ ?

1 50times

2 100 times

3 30 times

4 25 times

NCERT Page-236 / N-180

AC (NCERT)

274622 A group of electric lamps having a total power rating of 1000 watt is supplied by an AC voltage $E = 200 sin (310 t + 60^{\circ})$ . Then the rms value of the circuit current is

1

10 A

2

10 \sqrt{2} A

3

20 A

4

20 \sqrt{2} A

NCERT Page-236 / N-180

AC (NCERT)

274623 The equation of alternating current is :
$I = 50 \sqrt{2} sin 400 π t$ amp. Then the frequency and root mean square of current are respectively

1

200 Hz, 50 amp

2

400 π Hz, 50 \sqrt{2} amp

3

200 Hz, 50 \sqrt{2} amp

4

50 Hz, 200 amp

Explanation:

(a) $2 π nt = 400 π t$
$∴ n = 200$
${I_{0}}^{\circ} = 50 \sqrt{2} amp$ .
r.m.s. current $= I_{0} / \sqrt{2} = 50 amp$ :

NCERT Page-236 / N-180

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