1. in the first circuit you build, how does changing the voltage in a circuit affect the current in the circuit? 2. what is the impact of adding more light bulbs in series? 3. in the series circuit, is the current constant throughout the circuit, or does it vary? 4. what is the impact of adding more light bulbs in parallel? 5. in the parallel circuit, is the current constant throughout the circuit, or does it vary?

1) The voltage and the current in a circuit are related by Ohm's law:
 
where
V is the voltage of the circuit
I the current
is the equivalent resistance of the circuit.
This can be rewritten also as
(1)

We can see from this equation that there is a direct proportionality between the voltage and the current: so, as we increase the voltage, the current increases as well; vice-versa, if we decrease the voltage, the current decreases.

2) When we add more light bulbs in series, the equivalent resistance of the circuit increases, because each light bulb has its own resistance and the equivalent resistance of a series of n resistors is


3 )Looking at Ohm's law (1), we see that since the equivalent resistance has increased, if the voltage is not changed then the current in the circuit is not constant: instead, it decreases, so every time we add a new light bulb the brightness of each bulb decreases.

4) When we add more light bulbs in parallel, the equivalent resistance of the circuit decreases. In fact, each light bulb has its own resistance, and the equivalent resistance of n resistors in parallel is given by

We see from the formula that every time we add a new light bulb (a new resistor), the sum on the right increases. This means that the term  increases, and this means the equivalent resistance  of the circuit is decreasing.

5) By looking again at Ohm's law (1), we see that in this case, if the voltage is kept constant, then the overall current in the circuit is increasing, because  has decreased.

The answer is going to be c

Ithink your answer is d