Home
Class 12
PHYSICS
In a thin rectangular metallic strip a c...

In a thin rectangular metallic strip a constant current `I` flows along the positive `x-direction , as shown in the figure. The length , width and thickness of the strip are `l, w and d`, respectively.
A uniform magnetic field `vec(B)` is applied on the strip along the positive `y- direction` . Due to this, the charge carriers experience a net deflection along the `z- direction` . This results in accumulation of charge carriers on the surface `PQRS` ansd apperance of equal and opposite charges on the face opposite to `PQRS`. A potential difference along the `z-direction` is thus developed. Charge accumulation contiues untill the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross- section of the strip and carried by electrons.
Consider two different metallic strips `(1 and 2)` of same dimensions `n_(1) and n_(2)`, repectrively . Strip 1 is placed in magnetic field `B_(1)` and strip 2 is placed in magnetic field `B_(2)` , both along positive ` y- directions`. Then ` V_(1) and V_(2)` are the potential differences developed between `K and M` in strips 1 and 2 , respectively . Assuming that the current `I` is the same for both the strips, the correct option(s) is (are)

A

If `B_(1) = B_(2) and n_(1) = 2n_(2), then V_(2) = 2V_(1)`

B

If `B_(1) = B_(2) and n_(1) = 2n_(2), then V_(2) = V_(1)`

C

If `B_(1) = 2B_(2) and n_(1) = 2n_(2), then V_(2) = 0.5 V_(1)`

D

If `B_(1) = 2B_(2) and n_(1) = 2n_(2), then V_(2) = V_(1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here
` V prop (B)/(n) rArr (V_(1)n_(1))/(B_(1)) = (V_(2)n_(2))/(B_(2)) ltbr. If ` B_(1) = B_(2) and n_(1) = 2 n_(2) rArr V_(2) = 2V_(1)`
and of `B_(1) = 2 B_(2) and n_(1) = n_(2) rArr V_(2) = 0.5V_(1)`
`A and C `are the correct options.
Promotional Banner

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs(d )|1 Videos

  • MODERN PHYSICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQ (One Correct Answer|1 Videos

  • RAY AND WAVE OPTICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|209 Videos

Similar Questions

Explore conceptually related problems

In a thin rectangular metallic strip a constant current I flows along the positive x-direction , as shown in the figure. The length , width and thickness of the strip are l, w and d , respectively. A uniform magnetic field vec(B) is applied on the strip along the positive y- direction . Due to this, the charge carriers experience a net deflection along the z- direction . This results in accumulation of charge carriers on the surface PQRS ansd apperance of equal and opposite charges on the face opposite to PQRS . A potential difference along the z-direction is thus developed. Charge accumulation contiues untill the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross- section of the strip and carried by electrons. Consider two different metallic strips (1 and 2) of the same material . Their lengths are the same,widths are w_(1) and w_(2) and thickness are d_(1) and d_(2) respectively. Two points K and M are symmetrically located on the opposite faces parallel to the x-y plane ( see figure) . V_(1) and V_(2) are the potential differences between K and M in strips 1 and 2 , respectively . Then, for a given current I flowing through them in a given magnetic field strength B , the correct statement(s) is (are)

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then

A proton is placed in a unifrom electric field directed along the positive x-axis. In which direction willl it tend to move?

Positively charged particles are projected into a magnetic field. If the direction of the magnetic field is along the direction of motion of the charged particles, the particles get

A wire ABCDEF ( with each side of length L ) bent as shown in figure and carrying a current I is placed in a uniform magnetic induction B parallel to the positive y- direction . The force experienced by the wire is ……….. In the ………. direction .