A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region
A
is zero
B
decreases as `(1)/(r )`
C
increases as r
D
decreases as `(1)/(r^(2))`
Text Solution
Verified by Experts
The correct Answer is:
b
Topper's Solved these Questions
IIT QUESTIONS 1
D MUKHERJEE|Exercise Assertion- Reason Type|2 Videos
IIT QUESTIONS 1
D MUKHERJEE|Exercise Linked- Comprehension Type|3 Videos
HEAT AND THERMODYNAMICS
D MUKHERJEE|Exercise All Questions|85 Videos
IIT QUESTIONS 2
D MUKHERJEE|Exercise Matrix matching type|1 Videos
Similar Questions
Explore conceptually related problems
A uniform but time varying magnetic field B(t) exist in a circular region of radius a and is directed into the plane of the paper as shown. The magnitude of the induced electric field at point P at a distance r form the centre of the circular region.
A uniform magnetic field exists in a circular region of radius R centrad at O. The field is perpendicular to the plane of paper and is strength varies with time as B=B_(0)t . Find the induced electric field at a distance r from the centre for (i) r lt R , (ii) r gt R . Also, plot a graph between |E| and r for both the cases.
A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the loop and the magnitude of field is increasing at a constant rate alpha . There is a straight conducting rod of length 2R placed as shown in figure. The magnitude of induced emf across the rod is
A uniform but time varying magnetic field B=(2t^3+24t)T is present in a cylindrical region of radius R =2.5 cm as shown in figure. The variation of electric field at any instant as a function of distance measured from the centre of cylinder in first problem is
The magnetic field in a certain cylindrical region is changing with time according to the law B=[16-4t^(2)] Tesla . The magnitude of induced electric field at point P at time t= time =2 sec , is