138 Practical MATLAB® Applications for Engineers
R.2.123 Finally, consider the two capacitors C 1 and C 2 connected in parallel with a current
(source) Io feeding the parallel combination as shown in Figure 2.37.
The currents IC 1 and IC 2 are evaluated by using the current divider rule as
follows:
I
C
CC
C1o I
1
(^12)
I
C
CC
C2o I
2
(^12)
2.4 Examples
Example 2.1
- Determine the charge induced when a current of 1 A passes through a point during
2 min - Determine the number of electrons required to build up the charge of part 1
Solve this problem analytically and by using MATLAB.
ANALYTICAL Solution
Charge Q (coulombs) = I (^) t = 1 A 2 min ____60 smin
Q = 120 A s = 120 C
The number of electrons required to build up a charge of Q = 120 C is given by
Number of electrons 120 C 1 electron
1.602 1019 C
749 10.^19 electrons
FIGURE 2.37
Current divider rule for capacitors in parallel.
Io C 1 C 2
- −
IC 1 IC 2