You have two identical resistors 50kohm each and a 1.5V battery. Which of the following statements are true
a)the current drawn is bigger if the resistors are in series
b) the current drawn is bigger if the resistors are in parallel
c)the voltage across each resistor is bigger if the resistors are in series
d)the voltage across each resistor is smaller if the resistors are in series
Are there two answers? I think it's b) and d).
a is false
b is true
c is false
d is true
Yes, you are correct. The correct answers are b) and d).
To confirm this, let's analyze the circuit configurations:
a) If the resistors are in series, they are connected one after the other, forming a single pathway for the current to flow through. In this case, the current flowing through both resistors is the same because there is only one path for the current. Thus, statement a) is false, as the current drawn is the same regardless of the configuration.
b) If the resistors are in parallel, they are connected side by side, creating multiple pathways for the current to flow through. In this configuration, the total current is divided between the two resistors, resulting in a larger total current drawn from the battery. Therefore, statement b) is true because the current drawn is bigger when the resistors are in parallel.
c) The voltage across each resistor is determined by the potential difference provided by the battery. In this case, the battery provides a consistent 1.5V potential difference. When the resistors are in series, this 1.5V is divided between the resistors, so the voltage across each resistor is smaller compared to the total voltage. Consequently, statement c) is false, as the voltage across each resistor is smaller when they are in series.
d) On the other hand, when the resistors are in parallel, the same 1.5V potential difference is applied across each resistor individually. Thus, statement d) is true, as the voltage across each resistor is smaller when the resistors are in series.
Therefore, the correct answers are b) and d) - the current drawn is bigger when the resistors are in parallel, and the voltage across each resistor is smaller when the resistors are in series.