What is the maximum number of lamps that can draw 200 milliamperes each, connected to a circuit supplying 10 amperes?

To determine the maximum number of lamps that can draw 200 milliamperes each while being connected to a circuit that supplies 10 amperes, we first need to convert the current capacity of the circuit from amperes to milliamperes, since the lamp's current draw is also measured in milliamperes.

1 ampere is equal to 1000 milliamperes. Therefore, a circuit that supplies 10 amperes can supply:

10 amperes x 1000 milliamperes/ampere = 10,000 milliamperes.

Next, we divide the total available current (10,000 milliamperes) by the current drawn by each lamp (200 milliamperes) to find out how many lamps can be connected without exceeding the circuit's capacity:

10,000 milliamperes ÷ 200 milliamperes/lamp = 50 lamps.

This calculation shows that the correct answer is 50 lamps, which corresponds with the choice indicated for the answer. The reasoning behind this answer is rooted in understanding how current distribution works in electric circuits and ensuring that the total current draw does not exceed the maximum capacity of the circuit.