CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Using Lenz's Law

Figure shows ...

Question

Figure shows a copper rod moving with velocity $v$ parallel to a long straight wire carrying current $= 100 A$ . Calculate the induced emf in the rod, where $v = 5 m s^{- 1}, a = 1 c m, b = 100 c m$ .

A

0.23 m V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

0.46 m V

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

0.16 m V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

0.32 m V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $0.46 m V$
$f o r c e o n a p a r t i c l e o f u n i t c h a r g e i s F = v B = v \frac{μ_{0} I}{2 π x} d W = F d x \Rightarrow d W = v \frac{μ_{0} I}{2 π x} d x \Rightarrow W = E M F = v \frac{μ_{0} I}{2 π} l n (\frac{b}{a}) = 5 \times \frac{μ_{0} \times 100}{2 π} n (\frac{100}{1}) = 0.46 m V$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Figure shows a straight, long wire carrying a current i and a rod of length l coplanar with the wire and perpendicular to it. The rod moves with a constant velocity v in a direction parallel to the wire. The distance of the wire from the centre of the rod is x. Find the motional emf induced in the rod.

Q. A rod of length

l

is kept parallel to a long wire, carrying a constant current. It is moving away from the wire with a velocity

v

. Find the emf induced in the rod, at the instant when its distance from the long wire is

x

Q. A rod of length l is kept parallel to a long wire carrying constant current. It is moving away from the wire with a velocity v. Find the emf induced in the wire when its distance from the long wire is x.

Q. A long wire carries a current

i

. A rod of length

l

is moved with a velocity

v

in a direction parallel to the wire as shown in figure (a). Find the motional emf induced in the rod :

Q. A copper rod of length

1 m

is moving at a uniform speed of

2.5 m/s

parallel to a long straight wire carrying a current of

2 A

as shown in the figure. Rod is perpendicular to the wire, with its ends at a distance of

1 m

2 m

from it. Calculate the emf induced

(in volt)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

The Direction of Induced Current

PHYSICS

Watch in App

explore_more_icon

Explore more

Using Lenz's Law

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon