Finding I_knot at a certain time in the circuit given

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  • Thread starter oceanwalk
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In summary, the given circuit has resistors R1=3 kohm, R2=3 kohm, R3=2 kohm, R4=5 kohm, and R5=2 kohm, and a capacitor C=475 microF. By calculating the time constant and using it to find the current in the capacitor at t=0.1s, we can determine that i0(0.1s)=121.64 microA. Additionally, the current in R4 is half of the current in the capacitor.
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oceanwalk
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Homework Statement


In the network shown, R1=3 kohm, R2=3 kohm, R3=2 kohm, R4=5 kohm, R5=2 kohm, and C=475 microF. Compute i0(0.1s) in microA.

The figure is in the word file attached.


3. The Attempt at a Solution

Time constant is Req*c
Req when circuit is open is Req=r5+(r4*(r3+r2)/ (r4+r3+r2) )
Substituting the values, Req=4.5 kohms
Τ=4.5*10^3*475*10^-6=2.1375
Current in capacitor =12/Req(1-exp(-t/ Τ))
At t=0.1s I = 0.456*12/4.5 *10^-3 =121.64 micro A
Current in R4 = half of current in capacitor=60.8 micro A
 

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This isn't any help for your problem, but i0 is "i nought" or "i naught".

A knot is something used to fasten ropes together or to something.
A knot is also a unit of the speed of a boat in water.
 

FAQ: Finding I_knot at a certain time in the circuit given

How do you determine the location of I_knot in a circuit at a certain time?

To determine the location of I_knot in a circuit at a certain time, you must first understand the circuit's topology and the flow of current. Then, you can use Kirchhoff's laws and Ohm's law to calculate the voltage and current at different points in the circuit. By analyzing the voltage and current values, you can pinpoint the location of I_knot at the desired time.

What equations or principles are used to find I_knot at a certain time in a circuit?

The principles and equations used to find I_knot at a certain time in a circuit include Kirchhoff's laws, Ohm's law, and the concept of conservation of charge. Kirchhoff's laws state that the sum of currents entering and exiting a node must be equal, while Ohm's law relates the voltage and current in a circuit. The conservation of charge principle states that the total amount of charge entering a circuit must be equal to the total amount of charge exiting the circuit.

Can you use simulation software to find I_knot at a certain time in a circuit?

Yes, simulation software can be used to find I_knot at a certain time in a circuit. These programs use mathematical models and algorithms to simulate the behavior of a circuit and calculate the values of voltage and current at different points. However, it is important to verify the results of the simulation with calculations using the principles and equations mentioned above.

How does the presence of resistors, capacitors, and inductors affect the location of I_knot in a circuit at a certain time?

The presence of resistors, capacitors, and inductors affect the location of I_knot in a circuit at a certain time by altering the flow of current. Resistors limit the current in a circuit, while capacitors and inductors can store and release electrical energy. These components can also create voltage drops and phase shifts, which can impact the location of I_knot at a given time.

What are some practical applications of finding I_knot at a certain time in a circuit?

Finding I_knot at a certain time in a circuit has many practical applications in various fields such as electrical engineering, physics, and electronics. It is crucial for designing and troubleshooting circuits, as well as predicting the behavior of electronic devices. It is also used in power systems analysis to ensure the efficient and safe operation of electrical grids.

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