A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes

Question

A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes a circular orbit having a radius equal to that of Mercury's orbit around the sun (3.80 times 10^10 m). What is the magnetic field in that region of space? A 2.0-nF capacitor with an initial charge of 5.10 mC is discharged through a 1.30-k ohm resistor, (a) Calculate the current in the resistor 9.00 mu s after the resistor is connected across the terminals of the capacitor, (b) What charge remains across the capacitor after 8 mu s? (c) What is the maximum current across the resistor? I_1, I_2 and I_3 carry currents of 1 A, 2A and 3A respectively as shown in figured 5 below. The distance between I_1 and I_2 is 6 cm and between I_2 and I_3 is 5 cm. Determine the magnitude and direction of the magnetic field at the location where I_2 is.(b) Determine the magnitude and direction of the net force acting on wire 2. A long straight wire of radius R carries a steady current I that is uniformly distributed through the cross section of the wire. Calculate the magnetic field a distance r from the center of the wire in the regions rR. Consider a capacitor of capacitance C that is being discharged through a resistor of resistance R. After how many time constants is the charge on the capacitor one-fifth of its initial value?

Explanation / Answer

6)

let the magnetic field is B

as r = sqrt(2 * m * KE)/(B * q)

3.8 *10^10 = sqrt(2 * 1.67 *10^-27 * 10 * 10^6 * 1.602 *10^-19)/(B * 1.602 *10^-19)

solving for B

B = 1.2 *10^-11 T

the magnetic field strength is 1.2 *10^-11 T

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