Class 12 Exam > Class 12 Questions > The coil of inductance 5 Henry is joined to a...
Start Learning for Free
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2?
Most Upvoted Answer
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt throu...
The answer is 3 V
Given,
Resistance,
R=10Ω
Inductance,
L=5H
Emf of cell
V
=
6
V
i
0
=
V
R
=
6
10
=
0.6
formula for current in inductor.
i
=
i
0
⎛
⎜
⎝
1
−
e
−
R
t
L
⎞
⎟
⎠
at time
t
=
ℓ
n
√
2
i
=
0.6
⎛
⎜
⎜
⎝
1
−
e
−
10
ℓ
n
√
2
5
⎞
⎟
⎟
⎠
=
0.6
(
1
−
e
ℓ
n
x
(
√
2
)
−
2
)
=
0.3
i
=
i
0
⎛
⎜
⎝
1
−
e
−
R
t
L
⎞
⎟
⎠
=
0.6
⎛
⎜
⎝
1
−
e
−
10
t
5
⎞
⎟
⎠
d
i
d
t
=
i
0
(
−
(
−
2
)
e
−
2
t
)
=
0.6
×
2
e
−
2
t
=
1.2
e
−
2
t
Emf across coil
=
L
d
i
d
t
=
5
×
1.2
e
−
2
t
=
6
e
−
2
ln
√
2
=
3
V
Hence, emf across coil is 3V
Given,
Resistance,
R=10Ω
Inductance,
L=5H
Emf of cell
V
=
6
V
i
0
=
V
R
=
6
10
=
0.6
formula for current in inductor.
i
=
i
0
⎛
⎜
⎝
1
−
e
−
R
t
L
⎞
⎟
⎠
at time
t
=
ℓ
n
√
2
i
=
0.6
⎛
⎜
⎜
⎝
1
−
e
−
10
ℓ
n
√
2
5
⎞
⎟
⎟
⎠
=
0.6
(
1
−
e
ℓ
n
x
(
√
2
)
−
2
)
=
0.3
i
=
i
0
⎛
⎜
⎝
1
−
e
−
R
t
L
⎞
⎟
⎠
=
0.6
⎛
⎜
⎝
1
−
e
−
10
t
5
⎞
⎟
⎠
d
i
d
t
=
i
0
(
−
(
−
2
)
e
−
2
t
)
=
0.6
×
2
e
−
2
t
=
1.2
e
−
2
t
Emf across coil
=
L
d
i
d
t
=
5
×
1.2
e
−
2
t
=
6
e
−
2
ln
√
2
=
3
V
Hence, emf across coil is 3V
Community Answer
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt throu...
The EMF across the coil at time t can be determined by applying the laws of electromagnetic induction.
1. Formula for EMF induced in a coil:
The EMF induced in a coil can be calculated using the formula: EMF = -L*(dI/dt), where EMF is the electromotive force, L is the inductance of the coil, and (dI/dt) is the rate of change of current with respect to time.
2. Initial conditions:
At time t=0, the coil is joined to a cell of EMF 6 volts. This means that the initial current passing through the coil is given by Ohm's law: I = V/R, where I is the current, V is the voltage, and R is the resistance. Substituting the given values, we have I = 6/10 = 0.6 Amperes.
3. Rate of change of current:
To calculate the rate of change of current, we differentiate the above equation with respect to time (t). Since the EMF across the coil is due to the cell, the rate of change of current is zero.
4. Calculation of EMF across the coil:
Substituting the values into the formula for EMF induced in a coil, we have EMF = -L*(dI/dt) = -5*(0) = 0 volts.
5. The EMF across the coil at time t:
The given question states that the EMF across the coil at time t is equal to ln root 2. This implies that the EMF across the coil is not zero at time t. Since the rate of change of current is zero, the EMF across the coil cannot be determined using the given information.
In conclusion, the EMF across the coil at time t cannot be determined using the given information.
1. Formula for EMF induced in a coil:
The EMF induced in a coil can be calculated using the formula: EMF = -L*(dI/dt), where EMF is the electromotive force, L is the inductance of the coil, and (dI/dt) is the rate of change of current with respect to time.
2. Initial conditions:
At time t=0, the coil is joined to a cell of EMF 6 volts. This means that the initial current passing through the coil is given by Ohm's law: I = V/R, where I is the current, V is the voltage, and R is the resistance. Substituting the given values, we have I = 6/10 = 0.6 Amperes.
3. Rate of change of current:
To calculate the rate of change of current, we differentiate the above equation with respect to time (t). Since the EMF across the coil is due to the cell, the rate of change of current is zero.
4. Calculation of EMF across the coil:
Substituting the values into the formula for EMF induced in a coil, we have EMF = -L*(dI/dt) = -5*(0) = 0 volts.
5. The EMF across the coil at time t:
The given question states that the EMF across the coil at time t is equal to ln root 2. This implies that the EMF across the coil is not zero at time t. Since the rate of change of current is zero, the EMF across the coil cannot be determined using the given information.
In conclusion, the EMF across the coil at time t cannot be determined using the given information.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2?
Question Description
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2?.
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2?.
Solutions for The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? defined & explained in the simplest way possible. Besides giving the explanation of
The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2?, a detailed solution for The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? has been provided alongside types of The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? theory, EduRev gives you an
ample number of questions to practice The coil of inductance 5 Henry is joined to a cell of EMF 6 volt through a resistance 10 ohm at time t is equals to zero the EMF across the coil at time t is equal to ln root 2? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup