The net charge measured through a cross section of acircuit element is given by ᡩ䙦ᡲ䙧 = 2ᡲ + ᡲ⡰ [ᠩ], Asusual, ᡲ is in seconds. Find the current through theelement in amperes
Question
The net charge measured through a cross section of acircuit element is given by ᡩ䙦ᡲ䙧 = 2ᡲ + ᡲ⡰ [ᠩ], Asusual, ᡲ is in seconds. Find the current through theelement in amperes
Solution
The current through a circuit element is given by the derivative of the net charge with respect to time. In this case, the net charge q is given by the equation q = 2t + t^2.
To find the current, we differentiate this equation with respect to time (t).
The derivative of 2t with respect to time is 2, and the derivative of t^2 with respect to time is 2t.
So, the current i = dq/dt = 2 + 2t.
This is the current through the circuit element in amperes.
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