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A circular coil of area 200 cm2 and 25 turns rotates about its vertical diameter with an angular speed of 20 ms-1 in a uniform horizontal magnetic field of magnitude 0.05 T. The maximum voltage induced in the coil is​
  • a)
    0.5 V
  • b)
    1.5 V
  • c)
    2.5 V
  • d)
    2.0 V
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A circular coil of area 200 cm2and 25 turns rotates about its vertical...
It is induced EMF of periodic EMI, So formula is:
E= NBAw 
Here w is angular speed.
So, E = 25×0.05×200×20/10000 =0.5V
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Most Upvoted Answer
A circular coil of area 200 cm2and 25 turns rotates about its vertical...
It is induced emf of periodic EMI so formula is E=NBAW here it w is angular speed so = 25×0.05×200×20/10000 =0.5V ans here divided by 10000 becoz in ques area is given in cm so it is converted into m.
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Community Answer
A circular coil of area 200 cm2and 25 turns rotates about its vertical...
**Given data:**
- Area of the circular coil (A) = 200 cm^2 = 0.02 m^2
- Number of turns in the coil (N) = 25
- Angular speed of rotation (ω) = 20 m/s
- Magnetic field strength (B) = 0.05 T

**Formula:**
The induced voltage (emf) in a coil rotating in a magnetic field is given by the formula:
emf = N * A * B * ω

**Calculation:**
Substituting the given values into the formula, we get:
emf = 25 * 0.02 * 0.05 * 20
emf = 0.05 V

Therefore, the maximum voltage induced in the coil is 0.05 V, which is equivalent to 0.5 V (since 0.05 V = 0.5 * 0.1 V).

**Explanation:**
When a coil rotates in a magnetic field, the magnetic field lines passing through the coil change with time. This change in magnetic flux induces an electromotive force (emf) in the coil, which leads to the generation of a voltage.

The formula for calculating the induced voltage (emf) in a rotating coil is given by emf = N * A * B * ω, where N is the number of turns in the coil, A is the area of the coil, B is the magnetic field strength, and ω is the angular speed of rotation.

In this case, the area of the circular coil is given as 200 cm^2, which is converted to meters by dividing it by 100. The number of turns in the coil is given as 25. The angular speed of rotation is given as 20 m/s. The magnetic field strength is given as 0.05 T.

Substituting these values into the formula, we can calculate the induced voltage (emf). Simplifying the equation, we find that the maximum voltage induced in the coil is 0.05 V.

Therefore, the correct option is A) 0.5 V.
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A circular coil of area 200 cm2and 25 turns rotates about its vertical diameter with an angular speed of 20 ms-1in a uniform horizontal magnetic field of magnitude 0.05 T. The maximum voltage induced in the coil is​a)0.5 Vb)1.5 Vc)2.5 Vd)2.0 VCorrect answer is option 'A'. Can you explain this answer?
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