A variable capacitor is connected to an ac source. what effect does decreasing the capacitance have on the reactance and current in this circuit?
Reactance Current
A) increases decreases
b) decreases no change
c) decreases increases
d) increases increases
e) no change no change
please post the option
What do you think? We wouldn't want anyone to think you are answer grazing.
To determine the effect of decreasing the capacitance on the reactance and current in this circuit, we need to understand the relationship between capacitance, reactance, and current in an AC circuit.
In an AC circuit, the reactance of a capacitor is given by the formula:
Xc = 1 / (2πfC)
Where:
Xc = Capacitive reactance
π = Pi (approximately 3.14159)
f = Frequency of the AC source
C = Capacitance of the capacitor
From this formula, we can see that the reactance (Xc) of a capacitor is inversely proportional to the capacitance (C). Therefore, as the capacitance decreases, the reactance increases.
The current in an AC circuit with a capacitor is given by Ohm's law:
I = V / Xc
Where:
I = Current flowing through the circuit
V = Voltage across the capacitor
Xc = Capacitive reactance
From this formula, we can observe that the current (I) is directly proportional to the capacitance (Xc). As the capacitance decreases, the reactance increases, leading to a decrease in the current.
Therefore, the correct option is:
A) Increasing reactance and decreasing current.