20 million electron reaches X to a point Y in 2 micro second. what is direction and magnitude of current?
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Given - Number of electrons - 20 million
Time - 2 micro second
Find - direction and magnitude of current
Solution - Magnitude of current is calculated by the formula -
Q = I*T.
In the formula, q is charge, I is current and t is time.
Further Q can be represented as -
Q = ne, where n is number of electrons and e is charge on electron.
Equating both the equations,
n*e = I*t
Keeping the values in equation-
n = 20 million = 2*10^7
T = 2 micro second = 2*10^-6 seconds.
2*10^7*1.6*10^-19 = I*2*10^-6
I = 1.6*10^-6 C
Direction of current will be from Y to X. This is because current is directed towards movement of positive charges.
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