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Force on a Straight Current Carrying Conductor Placed in a Magnetic Field

A particle of...

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A particle of mass m and charge q is released from origin in a region occupied by electric field E directed along x-axis and magnetic field directed along negative x-axis, speed of particle at position x is

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Q. A positively charged particle, having charge q, is accelerated by a potential difference V. This particle moving along the x-axis enters a region where an electric field E exists. The direction of the electric field is along positive y-axis. The electric field exists in the region bounded by the line

x = 0

x = a

. Beyond the line

x = a

(i.e., in the region

x > a

), there exists a magnetic field of strength B, directed along the positive y-axis. Find the pitch of the helix formed after the particle enters the region

x \geq a

. (Mass of the particle is m)

Q. A particle having charge

q

m

is released from rest at origin, in a region with uniform electric field of magnitude

E

which is directed along the positive

x -

axis. The speed of the particle as it crosses point

x = x_{0}

[

]

Q. A positively charged particle, having charge q, is accelerated by a potential difference V. This particle moving along the x-axis enters a region where an electric field E exists. The direction of the electric field is along positive y-axis. The electric field exists in the region bounded by the line

x = 0

x = a

. Beyond the line

x = a

(i.e., in the region

x > a

), there exists a magnetic field of strength B, directed along the positive y-axis. Find
at which point does the particle meet the line

x = a

Q. A positively charged particle, having charge q, is accelerated by a potential difference V. This particle, moving along the x-axis, enters a region where a constant electric field E exists. The direction of electric field is along positive y-axis. The electric field E exists in the region bounded by the lines x = 0 and x = a. Beyond the line x = a (i.e., in region x

\geq

a), there exists a constant magnetic field of strength B, directed along positive y-axis. What is the pitch of helix formed after particle enters the region x

\geq

a? (mass of the particle is m).

Q. A particle of charge

q = 16 \times 10^{- 18}

10 m s^{- 1}

x -

axis enter a magnetic field of induction

B

y -

axis and an electric field

10^{4}

^{- 1}

z -

direction. If the particle continues to move along

x -

axis then the strength of magnetic field is

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