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Find the strength of magnetic field in a conductor 0.5m long moving with a velocity of 10m/s, inducing an emf of 20V.
- a)1T
- b)2T
- c)3T
- d)4T
Correct answer is option 'D'. Can you explain this answer?
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Find the strength of magnetic field in a conductor 0.5m long moving wi...
The formula for induced emf is: emf=Blv. Substituting the values of l, emf and v from the question, we get B=4T.
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Find the strength of magnetic field in a conductor 0.5m long moving wi...
Strength of Magnetic Field in a Conductor
To find the strength of the magnetic field in a conductor, we can use the formula:
B = (V * L) / (v * t)
Where:
- B is the strength of the magnetic field
- V is the induced emf (voltage) in the conductor
- L is the length of the conductor
- v is the velocity of the conductor
- t is the time taken
In this case, we are given:
- V = 20V (induced emf)
- L = 0.5m (length of the conductor)
- v = 10m/s (velocity of the conductor)
Step 1: Find the Time Taken
Since we are not given the time taken directly, we need to find it using the given information.
We know that velocity (v) is given by the formula:
v = d / t
Where:
- v is the velocity
- d is the distance
- t is the time taken
In this case, the distance (d) is equal to the length of the conductor (L), which is 0.5m.
Therefore, we can rearrange the formula to find the time taken (t):
t = d / v
Substituting the values, we get:
t = 0.5m / 10m/s = 0.05s
Step 2: Calculate the Strength of the Magnetic Field
Now that we have the values of V, L, v, and t, we can substitute them into the formula to calculate the strength of the magnetic field (B).
B = (V * L) / (v * t)
B = (20V * 0.5m) / (10m/s * 0.05s)
B = (10V*m) / (0.5m/s)
B = 20T
Therefore, the strength of the magnetic field in the conductor is 20 Tesla (T).
Answer: Option D (4T)
To find the strength of the magnetic field in a conductor, we can use the formula:
B = (V * L) / (v * t)
Where:
- B is the strength of the magnetic field
- V is the induced emf (voltage) in the conductor
- L is the length of the conductor
- v is the velocity of the conductor
- t is the time taken
In this case, we are given:
- V = 20V (induced emf)
- L = 0.5m (length of the conductor)
- v = 10m/s (velocity of the conductor)
Step 1: Find the Time Taken
Since we are not given the time taken directly, we need to find it using the given information.
We know that velocity (v) is given by the formula:
v = d / t
Where:
- v is the velocity
- d is the distance
- t is the time taken
In this case, the distance (d) is equal to the length of the conductor (L), which is 0.5m.
Therefore, we can rearrange the formula to find the time taken (t):
t = d / v
Substituting the values, we get:
t = 0.5m / 10m/s = 0.05s
Step 2: Calculate the Strength of the Magnetic Field
Now that we have the values of V, L, v, and t, we can substitute them into the formula to calculate the strength of the magnetic field (B).
B = (V * L) / (v * t)
B = (20V * 0.5m) / (10m/s * 0.05s)
B = (10V*m) / (0.5m/s)
B = 20T
Therefore, the strength of the magnetic field in the conductor is 20 Tesla (T).
Answer: Option D (4T)
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