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A rectangular coil 20 cm by 33 cm has 110 turns. This coil produces a maximum emf of 72 V when it rotates with an angular speed of 200 rad/s in a magnetic field of strength B.Find the value of B.

User Exslim
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2 Answers

5 votes

Step-by-step explanation:

Below is an attachment containing the solution.

A rectangular coil 20 cm by 33 cm has 110 turns. This coil produces a maximum emf-example-1
User Pouya Sanooei
by
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2 votes

Answer:

0.05T

Step-by-step explanation:

Data given,

area, A=20cm*33cm=0.2m*0.33m=0.066m^2

Number of turns, N=110 turns,

Emf= 72v,

angular speed, W= 200rad/s

magnetic field strength, B= ??

from the expression showing the relationship between induced emf and magnetic field is shown below


E=NBAW

Where N is the number of turns,

E=is the emf,

Bis the magnetic field strength

if we substitute values, we arrive at


E=NABW\\72=110*0.066*B*200\\B=(72)/(1452)\\ B=0.05T

User Gregory Lancaster
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4.1k points