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A circular coil of radius 2cm and 200 numbers of turns is placed perpendicular to uniform magnetic field of 2 T. The coil is turned through angle in time interval of 0.5 s. What will be the average emf induced in the coil ?
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Sure, here are the step-by-step solutions for 2.009 V:
Problem:
A 20lb block is hanging from two cables as shown. Determine the tension in each cable.
![2.009 V Problem Image](https://i.imgur.com/z2zOo6x.png)
Solution:
We can begin by drawing a free-body diagram of the block:
![2.009 V Free Body Diagram Image](https://i.imgur.com/Ms1DOOZ.png)
From this diagram, we can see that there are two forces acting on the block: the weight of the block (20lb) acting downwards, and the tension in the two cables acting upwards and to the left and right.
To solve for the tension in each cable, we need to use trigonometry to break the forces down into their x and y components. We can do this using the following equations:
where F is the magnitude of the force, and theta is the angle between the force and the x-axis.
For the left cable, we can see that the angle theta is 30 degrees, so we can use the above equations to solve for the x and y components of the tension:
For the right cable, we can see that the angle theta is 60 degrees, so we can use the above equations to solve for the x and y components of the tension:
Now, we can use the fact that the sum of the forces in the y-direction must equal zero, since the block is not accelerating vertically. This gives us the following equation:
Substituting in the expressions we found for and , we get:
Simplifying this equation, we get:
Finally, we can use the fact that the sum of the forces in the x-direction must equal zero, since the block is not accelerating horizontally. This gives us the following equation:
Substituting in the expressions we found for and , we get:
Simplifying this equation, we get:
Now, we can use these two equations to solve for the tension in each cable:
Therefore, the tension in each cable is $\frac{20}{\sqrt{3}} \
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Question Text | A circular coil of radius 2cm and 200 numbers of turns is placed perpendicular to uniform magnetic field of 2 T. The coil is turned through angle in time interval of 0.5 s. What will be the average emf induced in the coil ?
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Topic | Magnetism and EMI |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |