A variable current flows through a `1Omega` resistor for 2 s. Time dependence of the current is shown in the graph.

Options

A. Total charge flowing through the resistor is 10C.
B. Average current through the resistor is 5 A.
C. Total heat produced in the resistor is 50J.
D. Maximum power during the flow of current is 100 W.

Answer

A, B, D

Explanation

a., b., d.
"Total charge" `= int I dt ` = "Area under the curve" = `10 C`.
"Average current" `= (int I dt)/(int dt) = 5A`
"Total heat produced" `= (int I^2 dt)`
`= int_(0)^(2) (-5t + 10)^2 1dt = 200/3J`
"Maximum power" = `I^2R` "when I is maximum current"
`= 100 xx 1 = 100W`.