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Electric circuit consists of battery (with emf ε), resistor R and capacitor with initial capacitance C0, all connected in series as shown on the picture. The system has been connected as shown for some time, when abruptly, the capacitance is instantaneously changed to a value C=C0/η, η>1. Find: a) Current I(t) in the circuit as a function of time t after the change has been made (t=0 corresponds to the moment of change) b) the amount of heat Q that was dissipated in the resistor after the change has been made.
In the first stage of a two-stage Carnot engine, energy is absorbed as heat Q1 at temperature T1 = 530 K, What is the efficiency of the engine
A 7.05-kg ball of clay is thrown downward from a height of 4.08m/s onto a spring with k=1600 N/m. Find the total work done on the clay during the spring's compression
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has the total charge of -1q and outer shell has a total charge..
A ship sets out to sail to a point 148km due north. An unexpected storm blows the ship to a point 109km due east of its starting point.
For no apparent reason, a poodle is running at a constant speed of 6.00 m/s in a circle with radius 2.9 m. Let v1 be the velocity vector at time t1 , and let V2 be the velocity vector at time t2 . Consider (change in v)=v2-v1 and (change in t)=t2-..
A 13.9-g mass is suspended 1.33 cm above a nonconducting flat plate, directly above an embedded charge of q. by how much will the mass be changed
Astronauts use a centrifuge to simulate the acceleration of a rocket launch, What is the astronaut's tangential acceleration during the first 20.0s
A 1.10 liter flask contains a certain quantity of ideal gas at 320 K. Then an equal number of molecules of the same gas is added to the flask, after which the absolute pressure is 1.35 times its original value. Define is the final temperature?
An unmarked police car, travelling a constant 94 km/h, is passed by the speeder travelling 153 km/h. precisely 0.70 s after the speeder passes, policeman steps on the accelerator. If the police car's acceleration is 2.30 m/s^2, how much time elapses ..
A bullet, with an initial velocity of 300m/s and a mass of 5g, is fired into a block of wood. The bullet is brought to a stop at 5cm deep in the block of wood. Calculate the force the block of wood exerted on the bullet during this time
A camper is trying to start a fire by focusing sunlight onto apiece of paper. The diameter of the sun is 1.39 x109 m, and its mean distance from the earth is 1.50x 1011 m. The camper is using a converging lenswhose focal length is 10.3 cm.
A transformer consisting of two coils wrapped around an iron coreis connected to a generator and a resistor, as shown in thedrawing. There are 10 turns in the primary coil and 25 turns in thesecondary coil. The peak voltage in the resistor is 60 V. W..
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