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A final linear velocity of COM for a sphere is found to be x Ωr, when it is made to fallon a surface (coefficient of friction μ). Initially the sphere was rotating with an angular
velocity of about its own horizontal axis The instance it is made to fall on the
surface, it begins to skid first and then starts rotating without skidding.
(a) Find the value of x?
(b) Distance covered before reacting their final linear velocity is y =( r2ω2) / μg
Find the value of y?
A 80 turns closed circular coil having a radius of 20 cm is placed perpendicular to uniform magnetic field of intensity 50 Oe. Determine the amount of charge flowing through the coil, if the coil is rotated through 180° with respect to any diameter.
Resistance of the coil is given 2Ω.
Show that potential function U= x2+y2+2z2 satisfies Laplace equation
An iron ring has a X-section of 2 cm2 and a mean diameter of 20 cm. An air-gap of 0.4 mm has been cut across the section of the ring. The ring is wound with a coil of 300 turns . If the total magnetic flux is 0.20 mWb. The relative permeability of iron is 1000. Determine the current flowing through the coil
A capacitor is a device used to store electric charge. Typically, commercial capacitors have two conducting parts close to one another, separated by a significant gap. i. What is the capacitance of a parallel plate capacitor having plates of area 1.80 m2 that are separated by 0.05 mm of Pyrex glass (Dielectric constant=5.6)? ii. How much charge does it hold when 20.00 V is applied to it?
A point charge with magnitude of –3q are brought close to a point charge with magnitude of +q. Sketch the electric field lines of the system. Include the direction of the electric field in the sketch.
Based on your understanding, answer these questions: i. At a free space, two charged particles with equals magnitude but opposite charge are moving in uniform magnetic field at the same velocity, v. Discuss and compare the acceleration and component of magnetic forces acting on these particles. ii. Why does a permanent magnet bar distort cathode ray tube television when they are brought close to each other?
A charge of -1.0 nC is located on the y-axis 1.0 m from the origin at the coordinates (0,1) while a second charge of +1.0 nC is located on the x-axis 1.0 m from the origin at the coordinates (1,0). Determine the value of the following quantities at the origin…a. the magnitude of the electric field b. the direction of the electric field c. the electric potential (assuming the potential is zero at infinite distance) d. the energy needed to bring a +1.0 nC charge to this position from infinitely far away
How much work is done to transfer 0.30 C of charge through a potential difference of 9 Volts? (Show your solution)
What is the magnitude of the intensity at a point which is 0.3 m from a 10 µC charge? (Show your solution)
