If a 12 volt battery is placed across the three capacitor circuit in the previous problem, find the net amount of energy stored in the circuit once the capacitors have charged. 7. calculate the equivalent resistance of three resistors r, in series with the combination of r2 and r3 in parallel if ri=1092, rz=10012, and r3=3312 8. if a 12 volt battery is placed across the three resistor combination in the previous problem, find the currents through each resistor. 9. a carbon ion with a mass of 2e-26 kg enters a magnetic field moving perpendicular to the field at v=3x10 m/s. the charge on a ion is 1.6x10-1°c. if the radius of the ion's path is 16 cm, find the strength of the magnetic field. 10. a solenoid made from 600 turns of wire on a cylindrical form 2cm in diameter and 10 cm long has a current of 3 amps on it. find the strength of the magnetic field on the axis of the coil. 11. if the current in the solenoid described in the previous problem is interrupted and falls to zero in 0.001 seconds, find the voltage induced across the coil.

Astronomers discover an exoplanet (a planet of a star other than the sun) that has an orbital period of 3.87 earth years in its circular orbit around its sun, which is a star with a measured mass of 3.59 x 1030 kg. find the radius of the exoplanet's orbit.

A-4.60 μc charge is moving at a constant speed of 6.80×105 m/s in the +x−direction relative to a reference frame. at the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points.

The particle in a two-dimensional well is a useful model for the motion of electrons around the indole ring (3), the conjugated cycle found in the side chain of tryptophan. we may regard indole as a rectangle with sides of length 280 pm and 450 pm, with 10 electrons in the conjugated p system. as in case study 9.1, we assume that in the ground state of the molecule each quantized level is occupied by two electrons. (a) calculate the energy of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels. 9.27 electrons around the porphine ring (4), the conjugated macrocycle that forms the structural basis of the heme group and the chlorophylls. we may treat the group as a circular ring of radius 440 pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. as in exercise 9.26, assume that in the ground state of the molecule quantized each level is occupied by two electrons. (a) calculate the energy and angular momentum of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.