Page 44 - Schaum's Outline of Theory and Problems of Electric Circuits

CIRCUIT LAWS
CHAP. 3]

Fig. 3-16 33
Fig. 3-15

3.11 An inductance of 8.0 mH is in series with two inductances in parallel, one of 3.0 mH and the other 6.0 mH.
Find L eq . Ans. 10.0 mH

3.12 Show that for the three capacitances of equal value shown in Fig. 3-17 C eq ¼ 1:5C:

Fig. 3-17

Fig. 3-18

3.13 Find R H and R O for the voltage divider in Fig. 3-18 so that the current I is limited to 0.5 A when
V O ¼ 100 V. Ans: R H ¼ 2M
; R O ¼ 200

3.14 Using voltage division, calculate V 1 and V 2 in the network shown in Fig. 3-19. Ans. 11.4 V, 73.1 V

Fig. 3-20
Fig. 3-19

3.15 Obtain the source current I and the total power delivered to the circuit in Fig. 3-20.
Ans. 6.0 A, 228 W

3.16 Show that for four resistors in parallel the current in one branch, for example the branch of R 4 , is related to
the total current by
0
R 0 R 1 R 2 R 3
I 4 ¼ I T 0 where R ¼
R 4 þ R R 1 R 2 þ R 1 R 3 þ R 2 R 3