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qUESTIONS

A piece of straight wire has mass 20 g and length 1m. It is to be levitated using a current of 1 A flowing through it and a perpendicular magnetic field B in a horizontal direction. What must be the magnetic of B?

A solenoid of length 25 cm has inner radius of 1 cm and is made up of 250 turns of copper wire. For a current of 3A in it, what will be the magnitude of the magnetic field inside the solenoid?

A coaxial cable consists of a central conducting core wire of radius a and a coaxial cylindrical outer conductor of radius b. The two conductors carry an equal current I in opposite directions in and out of the plane of the paper. What will be the magnitude of the magnetic field B for (1) a < r < b and (2) b < r ? What will be its direction?

Consider a closely wound 1000 turn coil, having radius of l m. If a current of 10A passes through the coil, what will be the magnitude of the magnetic field at the centre?

A wire has 2 straight sections and one arc as shown in the figure. Determine the direction and magnitude of the magnetic field produced at the center O of the semicircle by the three sections individually and the total.

A circular coil of conducting wire has 500 turns and an area 1.26 × 10⁻⁴ m2 is enclosed by the coil. A current 100μA is passed through the coil. Calculate the magnetic moment of the coil.

Consider a square loop of wire loaded with a glass bulb of mass m hanging vertically, suspended in air with its one part in a uniform magnetic field B̅ with its direction coming out of the plane of the paper (⓿) . Due to the current I flowing through the loop, there is a magnetic force in upward direction. Calculate the current I in the loop for which the magnetic force would be exactly balanced by the force on mass m due to gravity.

Find the equivalent capacitance between P and Q. Given, area of each plate = A and separation between plates = d.

In a parallel plate capacitor with air between the plates, each plate has an area of 6 × 10 m² and the separation between the plates is 2 mm. a) Calculate the capacitance of the capacitor, b) If this capacitor is connected to 100 V supply, what would be the charge on each plate? c) How would charge on the plates be affected if a 2 mm thick mica sheet of k=6 is inserted between the plates while the voltage supply remains connected?

A charge 6 C is placed at the origin and another charge 5 µC is placed on the y axis at a position A (0, 6.0) m.a) Calculate the total electric potential at the point P whose coordinates are (8.0.0) mb) Calculate the work done to bring a proton from infinity to the point P? What is the significance of the negative sign?

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