Students run their experiment by charging a capacitor. The voltage across the ca

Question

Students run their experiment by charging a capacitor. The voltage across the capacitor was increasing with time. In data analysis, they used computer and found a good fit for V(t) with the theoretical function for charging a capacitor:

The result of the computer fit gave them the following numbers:

A = 4.43; B = 0.0039; and C = 0.057

Students run their experiment by charging a capacitor. The voltage across the capacitor was increasing with time. In data analysis, they used computer and found a good fit for V(t) with the theoretical function for charging a capacitor: V(t) = A(1 - e-Ct) + B The result of the computer fit gave them the following numbers: A = 4.43; B = 0.0039; and C = 0.057 What is the value of the time constant tau? Time constant tau= s

Explanation / Answer

V(t) = A(1 - e-Ct) + B .................(1)

the above equation in the form of

V(t) = V0(1 - e-t/T) + VC..............(2)

BY COMPARING Equations (1) and (2)

1/T = C...............(3)

here, T is Time Constant of given circuit RC

from eq. (3)

T = 1/C = 1/0.057 = 17.54 sec.

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