In-Class Worksheet 11: Current Goal: To estimate current strengths in different

Question

In-Class Worksheet 11: Current Goal: To estimate current strengths in different situations. Name I Nerve cells transmit electric signals through their long tubular axons. These signals propagate due to a sudden rush of Ma. ions, each with charge +e, Into the axon. Measurements have revealed that typically about 5.6x10 Na ions enter each meter of the axon during a time of 10.0 ms. What is the current during this inflow of charge in a meter of axon? During lightning strikes from a cloud to ground, currents as high as 25,000 A can occur and last for about 40 us. How much charge is transferred from the cloud to the earth during such a strike? I (Calculus) The current in a wire varies with time according to the equation I(t) = 55.0 A-(0.65A/s,)t2 How many coulombs of charge pass a cross section of the wire in the time interval between 1.0 and -8.0s? What constant current would transport the same charge in the same time interval? a. b.

Explanation / Answer

1)Given,

n = 5.6 x 10^11 ; t = 10 ms

We know from the defination of current

I = Q/t

Q = ne = 5.6 x 10^11 x 1.6 x 10^-19 = 8.96 x 10^-8 C

I = 8.96 x 10^-8/(10 x 10^-3) = 8.96 x 10^-6 A

Hence, I = 8.96 x 10^-6 A = 8.96 uA

2)Given,

I = 25000 A ; t = 40 us

We know that,

I = Q/t => Q = I t

Q = 25000 x 40 x 10^-6 = 1 C

Hence, Q = 1 C

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