What is the resulting current in a series circuit with a resistor and capacitor?

In summary, the problem involves finding the resulting current when a sinusoidal voltage of 240V (RMS) is applied to a series combination of a resistor with impedance of 330 and a capacitor with impedance of 318. The resulting current can be calculated using the equation I = 240/sqrt(330^2 + 318^2) and the phase of the current is yet to be determined.
  • #1
patep023
14
0
I have solved it (:

Homework Statement


Ir=Impedance of a resistor = 330
Ic=Impedance of a capacitor=318
V= Sinusoidal Voltage = 240 V (RMS) is applied across the series combination.
calculate the resulting current.

Homework Equations


Not sure

The Attempt at a Solution


I am really not sure how I would work out the resulting current.
Answer
I = 250/sqrt(330^2+318^2)
 
Last edited:
Physics news on Phys.org
  • #2
I have solved it (:
Well done.
Please help others by explaining how you got the answer.
 
  • #3
Should be 240/sqrt(330^2 + 318^2).
Also, you have determined the magnitude of the current but not its phase.
 
  • #4
yes, sorry it's supposed to be 240 not 250. I am not sure what its phase is
 
  • #5
patep023 said:
I am not sure what its phase is

Gonna take a shot at it?
 
  • #6
Will do tomorrow
 

Related to What is the resulting current in a series circuit with a resistor and capacitor?

What is impedance?

Impedance is a measure of the opposition that an electric circuit presents to the flow of alternating current (AC). It is represented by the symbol Z and is measured in ohms (Ω).

How is impedance related to resistance?

Impedance is related to resistance, but it also takes into account reactance, which is the opposition to the change in electric current caused by capacitance or inductance in a circuit. In a purely resistive circuit, impedance is equal to resistance, but in circuits with capacitors or inductors, impedance is a combination of both resistance and reactance.

What is the difference between AC and DC current?

AC (alternating current) is a type of current where the flow of electricity periodically reverses direction. It is commonly used in household and commercial electricity. DC (direct current) is a type of current where the flow of electricity only goes in one direction. It is commonly used in batteries and electronic devices.

How do you calculate impedance?

Impedance can be calculated using the formula Z = √(R² + X²), where R is the resistance and X is the reactance. In a purely resistive circuit, reactance is zero, so the impedance is equal to the resistance. In a circuit with capacitors or inductors, the reactance must be calculated separately and then added to the resistance to find the total impedance.

Why is impedance important?

Impedance is important because it determines how much current can flow through a circuit. It also affects the voltage and power in a circuit. Understanding impedance is crucial in designing and analyzing electrical circuits, as well as troubleshooting any issues that may arise.

Similar threads

Calculating Current in a Series RC Circuit
    • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
Engineering Source impedance using given voltage swing and power
    • Engineering and Comp Sci Homework Help
Replies
2
Views
894
Engineering Calculating the voltage at a certain Resistor
    • Engineering and Comp Sci Homework Help
Replies
3
Views
998
Find the current using jω method
    • Engineering and Comp Sci Homework Help
Replies
9
Views
2K
Current flowing through resistor in RLC circuit (C in parallel with L)
    • Engineering and Comp Sci Homework Help
Replies
19
Views
2K
Engineering Impedance angle in RL and RC circuits
    • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
Engineering Step response of RC circuit with independent voltage and current sources
    • Engineering and Comp Sci Homework Help
Replies
7
Views
2K
Engineering Calculating voltage across resistors/capacitors in a circuit
    • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
Engineering Calculating Norton Equivalent Circuit for Complex Load Impedance
    • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
Complex RLC Circuit Problem (System of diff eqs)
    • Engineering and Comp Sci Homework Help
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top