Science, asked by ayushbarai2005, 5 months ago

Q.2 The resistance of a wire is 100
Ohms. If it carries a current of 1 A for
10 seconds, the heat produced will
be..........
O 1000 J
O 100
J​

Answers

Answered by ItsMarmik
2

Answer:

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12th

Physics

Alternating Current

AC Voltage Applied to an Resistor

A resistor of resistance 1...

PHYSICS

A resistor of resistance 100ohm is connected to an AC

source =(12V) sin(250πs

−1

)t. Find the energy dissipated as heat during t=0 to t=1.0ms

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ANSWER

Given :

the peak voltage of AC source E

0

=12V

Angular frequency, ω=250πs

−1

The resistance of the resistor, R=100Ω

The energy dissipated as heat (H)is given by,

H=

R

E

rms

T

here, E

rms

= RMS value of voltage

R= Resistance of the resistor

T=temperature

Energy dissipated as heat during t=0 to t=1.0 ms,

H=∫

0

10

−3

dH

=∫

R

E

0

2

sin

2

wt

dt(sinceE

Rms=E

0

sin wt

)

=

100

144

0

10

−3

(sin

2

wt)dt

1.44∫

0

10

−3

(

2

1−cos2wt

)dt

=

2

1.44

[∫

10

0

−3

dt+∫

0

10

−3

cos2wt dt]

=0.72[10

−3

−(

2w

sin2wt

)

0

10

−3

]

=0.72[

100

1

500π

1

]

=0.72[

1000

1

500π

1

]

=0.72[

1000

1

1000π

2

]

=(

1000π

π−2

)×0.72

=0.0002614=2.61]×10

−4

J

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