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DIFFERENTIATION2
Mind map: differentiation current calculation
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DIFFERENTIATION2
The total charge entering a terminal is given by Q= 5t sin 4πt mC. Calculate the current at t=0.5s
i= dQ/dt
- by applying PRODUCT RULE;
- d/dt (5t sin 4πt) mC
- u= 5t
- du/dt= 5
- i= u'v + v'u
- i= (5) (sin 4πt) + (5t) (4π cos 4πt)
- EXPAND!
- i= 5 sin 4πt + 20πt cos 4πt mA/s
- if t= 0.5s
- substitute (t= 0.5) in the equation;
- i= 5 sin 4π (0.5) + 20 (0.5)π cos4π (0.5) mA
- i= 5 (sin 2π) + 10π (cos 2π) mA
- i= 10π mA/s
- i= 5 (sin 2π) + 10π (cos 2π) mA
- i= 5 sin 4π (0.5) + 20 (0.5)π cos4π (0.5) mA
- substitute (t= 0.5) in the equation;
- if t= 0.5s
- i= 5 sin 4πt + 20πt cos 4πt mA/s
- EXPAND!
- i= (5) (sin 4πt) + (5t) (4π cos 4πt)
- i= u'v + v'u
- du/dt= 5
- v= sin 4πt
- dv/dt= 4π cos 4πt
- u= 5t
- d/dt (5t sin 4πt) mC
- by applying PRODUCT RULE;
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- Mind Map on DIFFERENTIATION2, created by Nur Syahirah Bt Razali . on 17/11/2017.
- Created by
- Nur Syahirah Bt Razali .
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