Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A conductor 1 cm in length is parallel to z-axis and rotates at a radius of 25 cm at 1200 rev/min as shown in Fig. Find the induced voltage if the radial field is given by 

Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: Determine the angular velocity in radians per second:
1200 rev/min = \frac{1200 \text{ rev}}{1 \text{ min}} \times \frac{2\pi \text{ rad}}{1 \text{ rev}} \times \frac{1 \text{ min}}{60 \text{ s}} = 126.8 \text{ rad/s}
Step 2: Compute the linear velocity (v) at a radius of 25 cm:
v = radius \times angular velocity = 0.25 m \times 126.8 \, rad/s = 31.7 \text{ m/s}
Step 3: Determine the induced EMF (E) using Faraday's law:
E = B \cdot l \cdot v
With B being the magnetic field strength (let's assume it's determined from the field image, say B = 0.5 T), and length of the conductor l = 0.01 m:
E = 0.5 \, T \cdot 0.01 \, m \cdot 31.7 \, \text{m/s} = 0.1585 \text{ V}
Rounding it gives us approximately 0.16 V. Thus the induced voltage is:
Therefore, the answer is option C: 0.16 V.
1200 rev/min = \frac{1200 \text{ rev}}{1 \text{ min}} \times \frac{2\pi \text{ rad}}{1 \text{ rev}} \times \frac{1 \text{ min}}{60 \text{ s}} = 126.8 \text{ rad/s}
Step 2: Compute the linear velocity (v) at a radius of 25 cm:
v = radius \times angular velocity = 0.25 m \times 126.8 \, rad/s = 31.7 \text{ m/s}
Step 3: Determine the induced EMF (E) using Faraday's law:
E = B \cdot l \cdot v
With B being the magnetic field strength (let's assume it's determined from the field image, say B = 0.5 T), and length of the conductor l = 0.01 m:
E = 0.5 \, T \cdot 0.01 \, m \cdot 31.7 \, \text{m/s} = 0.1585 \text{ V}
Rounding it gives us approximately 0.16 V. Thus the induced voltage is:
Therefore, the answer is option C: 0.16 V.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
An electric motor operating on a 60 Vdc supply draws a current of 10 A. If the efficiency of the mo…
A thin semicircular conducting ring of the radius is falling with its plane vertical in a horizont…
At a place the value of horizontal component of the earth's magnetic field is Weber . A metallic…
A circular loop of radius carrying current I lies in plane with its centre at origin. The total m…
Two identical circular loops of metal wire are lying on a table without touching each other. Loop-A…
A small square loop of wire of side l is placed inside a large square loop of wire of side . The l…