Calculating t1: Current Through an Inductor

In summary, the circuit parameters are given as R = 60 Ohms, L = 5 mH, C = 40 microFarads, and e = 120 V. The switch has been initially closed for a long time and is then opened at t = 0. The question is asking for the first time, t1, when the current through the inductor is equal to zero. The possible options are a) t1 = 0, b) t1 = 2.11 ms, and c) t1 = 0.70 ms. Based on the given information, it is not possible to determine the exact value of t1 without additional information about the circuit configuration.
  • #1
dancingmonkey
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Homework Statement


The circuit parameters are: R = 60 Ohms, L = 5 mH, C = 40 microFarads, and e= 120 V. Initially the switch has been closed for a long time. At t=0 the switch is opened.

What is t1, the first time greater than or equal to 0, that the current through the inductor is equal to zero?

a)t1=0
b)t1=2.11 ms
c)t1=0.70 ms

Homework Equations





The Attempt at a Solution



I really have no idea how to go about this question. Can someone help please?
 
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  • #2
EDIT: if you read what I wrote about arcing - it was wrong. There would be no arcing in this case. It's a very simple situation.

Except for the part about the description of the circuit. It didn't specify the configuration. Had it said "series RLC" that would have been different. I am still assuming that's what's intended.
 
Last edited:

Related to Calculating t1: Current Through an Inductor

What is the formula for calculating t1?

The formula for calculating t1, the time taken for the current through an inductor to reach 63.2% of its maximum value, is t1 = L/R, where L is the inductance in henries and R is the resistance in ohms.

Why is it important to calculate t1?

Calculating t1 can help us understand the behavior of inductors in circuits and predict the time it takes for the current to reach a certain level. It is also useful in designing and optimizing circuits that involve inductors.

What factors affect the value of t1?

The value of t1 is affected by the inductance and resistance of the circuit, as well as the initial current flowing through the inductor. Additionally, the type and material of the inductor can also impact t1.

How does t1 relate to other time constants in circuits?

T1 is one of the time constants in circuits, along with t2 (time taken for current to reach 86.5% of its maximum value) and t3 (time taken for current to reach 95% of its maximum value). These time constants are related to each other and can help us analyze the behavior of inductors in circuits.

Can t1 be measured experimentally?

Yes, t1 can be measured experimentally by using an oscilloscope to monitor the current through an inductor and recording the time it takes for the current to reach 63.2% of its maximum value. This measurement can then be compared to the calculated value of t1.

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