A long, horizontal wire AB rests on the surface of a table and carries a current I. Horizontal wire CD is vertically above wire AB, and is free to slide up and down on the two vetical mental guides C and D (as shown in Fig) Wire CD is connected through the sliding contacts to another wire that also carries a current I, opposite in direction to the current in wire AB. The mass per unit length of the wire CD is `lambda`. To what euqilibrium heigth h will the wire CD rise, assuming that magnetic force on it is wholly due to the current in wire AB? A. `(3mu_(0)I^(2))/(2pilambdag)`B. `(mu_(0)I^(2))/(3pilambdag)`C. `(5mu_(0)I^(2))/(2pilambdag)`D. `(mu_(0)I^(2))/(2pilambdag)`

A long, horizontal wire AB rests on the surface of a table and carries

1.	A long, horizontal wire AB rests on the surface of a table and carries a current I. Horizontal wire CD is vertically above wire AB, and is free to slide up and down on the two vetical mental guides C and D (as shown in Fig) Wire CD is connected through the sliding contacts to another wire that also carries a current I, opposite in direction to the current in wire AB. The mass per unit length of the wire CD is `lambda`. To what euqilibrium heigth h will the wire CD rise, assuming that magnetic force on it is wholly due to the current in wire AB? A. `(3mu_(0)I^(2))/(2pilambdag)`B. `(mu_(0)I^(2))/(3pilambdag)`C. `(5mu_(0)I^(2))/(2pilambdag)`D. `(mu_(0)I^(2))/(2pilambdag)`
Answer» Correct Answer - D Gravitational force and magnetic force are equal in magnitude and opposite in direction. `implieslambdaLg=(mu_(0)I^(2)L)/(2pih)impliesh=(mu_(0)I^(2))/(2pilambdag)`

Discussion

No Comment Found

Related InterviewSolutions

Two concentric coils of 10 turns each are placed in the same plane. Their radii are 20 cm and 40 cm and carry 0.2 A and 0.3 A current respectively in opposite directions. The magnetic induction (in tesla) at the centre isA. `3/4 mu_(0)`B. `5/4 mu_(0)`C. `7/4 mu_(0)`D. `9/4 mu_(0)`
Cyclotron is used to accelerateA. negative ionB. positive ionC. electronD. None of these
Assertion: Cyclotron is a device which is used to accelerate the position ions. Reason: Cyclotron frequency depends upon the velocity.A. If both the assertion and reason are true and reason is a true explantion of the assertion.B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.C. If the assertion is true but reason falseD. If both the assertion and reason are false.
A wire is bent in the form of an equilateral triangle PQR of side 10 cm and carrise a current of 5.0 A. It is placed in a magnetic field B of magnitude 2.0 T directd perpendicularly to the plane of the loop. Find the forces on the three sides of the triangle.
An electron with kinetic energy 2.5 keV moving along the positive direction of an x axis enters a region in which a uniform electric field of magnitude 10 kV`//`m is in the negative direction of the y-axis. A uniform magnetic field `vecB` is to be set up to keep the electron moving along the x-axis , and the direction `vecB` of is to be chosen to minimize the required magnitude of `vecB`. In unit-vector notation, what `vecB` should be set up?
An electron and a proton are moving with the same kinetic energy along the same direction . When they pass through a uniform magnetic field perpendicular to the direction of their motion , they describe circular paths of the same radius.
A proton is moving along `Z`-axis in a magnetic field. The magnetic field is along `X`-axis. The proton will experience a force alongA. X-axisB. Y-axisC. Z-axisD. Negative Z-axis
A charged particle carrying charge `q=10 muC` moves with velocity `v_1=10^6 ,s^-1` at angle `45^@` with x-axis in the xy plane and experience a force `F_1=5sqrt2 mN` along the negative z-axis. When the same particle moves with velocity `v_2=10^6 ms^-1` along the z-axis, it experiences a force `F_2` in y-direction. Find the magnetic field `vecB`.A. `(10^-3T)(hati+hatj)`B. `(2xx10^-3T)hati`C. `(10^-3T)hati`D. `(2xx10^-3T)(hati+hatj)`
If a charged particle of charge `5 muC` and mass 5 g is moving with constant speed 5 m/s in a uniform magnetic field B on a curve `x^(2)+y^(2)=25`, where x and y are in meter. The value of magnetic field will beA. 1 teslaB. 1 kilo tesla along z-axisC. 5 kilo tesla along the x-axisD. 1 kilo tesla along any line in the x-y plane
In the figure shown there are two semicircles of radii `r_(1)` and `r_(2)` in which a current `i` is flowing. The magnetic induction at the centre `O` will be A. `(mu_(0) i)/(r) (r_(1) + r_(2))`B. `(mu_(0) i)/(4) (r_(1) -r_(2))`C. `(mu_(0) i)/(r) ((r_(1) + r_(2))/(r_(1) r_(2)))`D. `(mu_(0) i)/(r) ((r_(2) - r_(1))/(r_(1) r_(2)))`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment