Determine the current flowing through an element if the charge flow is given by a) q(t)=(3t+8)mC b) q(t)=(8t2+4t−2)C c) q(t)=(3e−1−5e−2t)nC d) q(t)=10sin⁡120πt pC e) q(t)=20e−4tcos⁡50tμC

Question

Determine the current flowing through an element if the charge flow is given by  a) q(t)=(3t+8)mC  b) q(t)=(8t2+4t−2)C  c) q(t)=(3e−1−5e−2t)nC  d) q(t)=10sin⁡120πt pC  e) q(t)=20e−4tcos⁡50tμC

Lible1953 · Accepted Answer

Step 1  The Current Flow through an element is given by:  i=dqdt  Step 2  Solving for a:  q(t)=(3t+8)mC  i=ddt(3t+8)  i=3mA  Step 3  Solving for b:  q(t)=(8t2+4−2)C  i=ddt(8t2+4t−2)  i=(16t+4)A  Step 4  Solving for c:  q(t)=(3e−t−5e−2t)nC  i=ddt(3e−t−5e−2t)  i=(−3e−t+10e−2t)nC  Step 5  Solving for d:  q(t)=(10sin⁡120πt)pC  i=ddt(10sin⁡120πt)  i=(10cos⁡120πt)(120π)  i=(1200πcos⁡120πt)pC  Step 6  Solving for d:  q(t)=(20e−4tcos⁡50t)μC  i=ddt(20e−4tcos⁡50t)  i=(50)(20e−4t(sin)50t)+(−80e−4tcos⁡50t)  i=(−1000e−4tsin⁡50t−80e−4tcos⁡50tμC

Traidnew · Accepted Answer

Step 1  a) i=dqdt=3mA  b) i=dqdt=(16t+4)A  c) i=dqdt=(−3e−t+10e−2t)nA  d) i=dqdt=1200πcos⁡120πt pA  e) i=dqdt=−e−4t(80cos⁡50t+1000sin⁡50t)μA

Determine the current flowing through an element if the charge

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