4. consider a particle constrained to move on the surface of a sphere of radius a. take the center of the sphere as the origin of coordinates. the potential is then of the form r a (a) give the hamiltonian operator for the particle in spherical coordinates, and write out the t-independent schroedinger equation. (b) to make life easy ignore the angular dependence of the potential, i.e., set u(0, o) uo, where uo is a constant. what are the energy levels?

The correct option is a.

Explanation:

In the parallel combination of the circuit, the voltage in the circuit is same but the amount of current flowing in the circuit is different across the resistance.

The expression for the total amount of current in the parallel combination is as follows;

Here, I is the total amount of current and are the current flowing across resistances.

In the series combination of the circuit, the current flowing in the circuit is same but the voltage in the circuit is different across the resistance.

The expression for the total voltage in the series combination of the circuit is as follows;

Here, V is the total voltage and are voltages flowing across resistances.

In the given problem, it is asked to determine the quantities which are equal to total of the individual values within a circuit.

Therefore, the option a is correct.