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Consider the following situation are uniform magnetic field b point t into the plane of paper is present everywhere inside the rectangular region shown in the at joining figure outside the rectangular region there is no magnetic field a close loop of conducting wire is placed inside the rectangular region that time t equals to zero the loop is then rotated counter clockwise with a uniform angular velocity Omega about an Axis perpendicular to the paper passing through the point of if the direction of PQ is taken to be positive then a correct graph for EMF is?
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Consider the following situation are uniform magnetic field b point t ...
Understanding the Situation
In this scenario, we have a uniform magnetic field \( \mathbf{B} \) directed into the plane of the paper within a rectangular region. A conducting loop is placed inside this region and is rotated counterclockwise with a uniform angular velocity \( \Omega \).

Electromotive Force (EMF) Induction
According to Faraday's Law of Electromagnetic Induction, the EMF (\( \mathcal{E} \)) induced in the loop is given by:
\[
\mathcal{E} = -\frac{d\Phi_B}{dt}
\]
where \( \Phi_B \) is the magnetic flux through the loop.

Magnetic Flux Calculation
- The magnetic flux \( \Phi_B \) through the loop can be expressed as:
\[
\Phi_B = B \cdot A \cdot \cos(\theta)
\]
- Here, \( A \) is the area of the loop, \( B \) is the magnetic field strength, and \( \theta \) is the angle between the magnetic field direction and the normal to the loop's surface.

Effect of Rotation
- As the loop rotates, the angle \( \theta \) changes, leading to a time-dependent magnetic flux:
\[
\theta = \Omega t
\]
- Thus, the magnetic flux becomes:
\[
\Phi_B = B \cdot A \cdot \cos(\Omega t)
\]

Graph of EMF
- The EMF induced will then be:
\[
\mathcal{E} = -\frac{d\Phi_B}{dt} = B \cdot A \cdot \Omega \cdot \sin(\Omega t)
\]
- This indicates that the EMF varies sinusoidally with time, oscillating between \( -B \cdot A \cdot \Omega \) and \( B \cdot A \cdot \Omega \).

Conclusion
- The correct graph for the EMF will be a sine wave starting from zero, oscillating between positive and negative values, reflecting the periodic change in magnetic flux due to the rotating loop.
This behavior perfectly illustrates the principles of electromagnetic induction in a rotating system within a magnetic field.
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Consider the following situation are uniform magnetic field b point t into the plane of paper is present everywhere inside the rectangular region shown in the at joining figure outside the rectangular region there is no magnetic field a close loop of conducting wire is placed inside the rectangular region that time t equals to zero the loop is then rotated counter clockwise with a uniform angular velocity Omega about an Axis perpendicular to the paper passing through the point of if the direction of PQ is taken to be positive then a correct graph for EMF is?
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Consider the following situation are uniform magnetic field b point t into the plane of paper is present everywhere inside the rectangular region shown in the at joining figure outside the rectangular region there is no magnetic field a close loop of conducting wire is placed inside the rectangular region that time t equals to zero the loop is then rotated counter clockwise with a uniform angular velocity Omega about an Axis perpendicular to the paper passing through the point of if the direction of PQ is taken to be positive then a correct graph for EMF is? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider the following situation are uniform magnetic field b point t into the plane of paper is present everywhere inside the rectangular region shown in the at joining figure outside the rectangular region there is no magnetic field a close loop of conducting wire is placed inside the rectangular region that time t equals to zero the loop is then rotated counter clockwise with a uniform angular velocity Omega about an Axis perpendicular to the paper passing through the point of if the direction of PQ is taken to be positive then a correct graph for EMF is? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following situation are uniform magnetic field b point t into the plane of paper is present everywhere inside the rectangular region shown in the at joining figure outside the rectangular region there is no magnetic field a close loop of conducting wire is placed inside the rectangular region that time t equals to zero the loop is then rotated counter clockwise with a uniform angular velocity Omega about an Axis perpendicular to the paper passing through the point of if the direction of PQ is taken to be positive then a correct graph for EMF is?.
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