Question

Example 12.9
Irin Fig. 12.
and a 12 V b
(a) the total re
in the circuit.
12.12. R, = 109. R, = 40 1, R, = 30 32, R, = 20 2. R. = 60 2,
v battery is connected to the arrangement. Calculate
al resistance in the circuit, and (b) the total current lowing
R
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Solution
Suppose we
equivalent
the parallel resi
resistor of res
se we replace the parallel resistors R, and R, by an
alent resistor of resistance, R'. Similarly we replace
arallel resistors R3, R, and R, by an equivalent single
stor of resistance R". Then using Eq. (12.18), we have
R=1/10 + 1/40 = 5/40; that is R' = 8 22.
milarly, 1/ R' = 1/30 + 1/20 + 1/60 = 6/60;
that is, R" = 10 12.
Thus, the total resistance, R= R' + R" = 18 12.
To calculate the current, we use Ohm's law, and get
1 = V/R = 12 V/18 12 = 0.67 A.
Sim
HHHH
We have seen that in a series circuit the current is constant
then loctric circuit. Thus it is obviously impracticable to connect
C
Figure 12.12​

Answer 1

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