Home
Class 12
PHYSICS
Let I(1) and I(2) be the steady currents...

Let `I_(1) and I_(2)` be the steady currents passing through a long horizontal wire XY and PQ respectively. The wire PQ is fixed in horizontal plane and the wire XY be is allowed to move freely in a vertical plane. Let the wire XY is in equilibrium at a height d over the parallel wire PQ as shown in figure.

Text Solution

Verified by Experts

If the wire XY is slightly displaced and released, it executes simple uarmonic motion due to force of repulsion produced between the current carrying wire.
Acceleration of the wire, a = -`omega^(2)`y
Time period of oscillation of the wire, `
T = 2pi sqrt((d)/(g))`
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM AND MAGNETIC EFFECTS OF ELECTRIC CURRENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|45 Videos

  • MAGNETISM AND MAGNETIC EFFECTS OF ELECTRIC CURRENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED -III. FILL IN THE BLANKS :|35 Videos

  • MAGNETISM AND MAGNETIC EFFECTS OF ELECTRIC CURRENT

    FULL MARKS|Exercise TEXT EVALUATION SOLVED - LONG ANSWER QUESTIONS|12 Videos

  • ELECTROSTATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( VII. NUMERICAL PROBLEMS )|5 Videos

  • OPTICS

    FULL MARKS|Exercise ADDITIONAL QUESITON - II ADDITIONAL PROBLEMS:|11 Videos

Similar Questions

Explore conceptually related problems

A current 10A is flowing East to West in a long wire kept horizontally in the East - West direction. Find the magnitude and direction of magnetic field in a horizontal plane at a distance of 10 cm North.

The system containing the rails and the wire of the previous problem is kept vertically in a uniform horizontal magnetic field B that is perpendicular to the plane of the rails. It is found that the wire stays in equilibrium. If the wire ab is replaced by another of double its mass, how long will it take in falling through a distance equal ot its length?

A long straight wire in the horizontal plane carries a current of 50 A in north to south direction . Give the magnitude and direction of B at a point 2.5 m east of the wire .

Shows a smooth pair of thick metallic rails connected across a battery of emf epsilon having a negligible internal resistance. A wire ab of length l and resistance r can slide smoothly on the rails. The entire system lien in a horizontal plane and is immersed in a uniform vertical magnetic field B. At an instant t, the wire is given a small velocity v towards right. (a) find the current in it at this instant. What is the direction of the current? (b) What is the force acting on the wire at this instant? (c) Show that after some time the wire ab will slide with a constant velocity. Find this velocity.

A wire of mass m and length I can freely slide on a pair of parallel, smooth, horizontal rails placed in a vertical magnetic field B . The rails are connected by a capacitor of capacitance C. The electric resistance of the rails and the wire is zero. If a constant force F acts on the wire as shown in the figure, find the acceleration of the wire.

The current generator i_g , shown in , sends a constant current I through the circuit. The wire ab has a length l and mass m and can slide on the smooth, horizontal rails connected to l_g . The entire system lies in a vertical magnetic field B. Find velocity of the wire as a function of time.

A long straight wire AB carries a current I. A proton P travels with a speed v, parallel to the wire , at a distance d from it in a direction opposite to the current as shown in figure what is the force experienced by the proton and what is its direction?

A uniform rod of mass m and length l is suspended through a light wire of length l and torsional constant k as shown in figure. Find the time period of the system makes small oscillations in the vertical plane about the suspension point .

Calculate the magnetic field at the point p (Refer figure ) due to straight wire XY carrying a current i.

The current generator I _g , shown in . Sends a constant current I throught the curcuti. The wire cd is fixed and ab is made ot slide on the smooth, thick rails with a constant velocity v towards right. Each of these wire has resistance r. Find the current through the wire cd.