By Mahmood Nahvi, Joseph Edminister
This new version of Schaum's define of electrical Circuits supply readers an intensive origin within the thought and operation of electrical circuits. This bestselling define combines short descriptions of conception with illustrative examples, solved difficulties, and complement difficulties to supply a right away and potent instrument and technique for studying.
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Extra info for Schaum's Outline of Theory and Problems of Electric Circuits
17 Determine the single circuit element for which the current and voltage in the interval 0 ! 103 t ! are given by i ¼ 2:0 sin 103 t (mA) and v ¼ 5:0 cos 103 t (mV). Ans. 0 mH has a voltage v ¼ 2:0eÀ10 t (V). Obtain the maximum stored energy. the current is zero. Ans. 0- resistance. 6 mJ. Ans. 20 Given that a capactance of C farads has a current i ¼ ðVm =RÞeÀt=ðRcÞ (A), show that the maximum stored energy is 12 CVm2 . Assume the initial charge is zero. 21 The current after t ¼ 0 in a single circuit element is as shown in Fig.
10v when v ! 0 i¼ 0:1v when v 0 Find the element’s current if it is connected to a voltage source with (a) v ¼ 1 þ sin t and (b) v ¼ À1 þ sin t. See Fig. 3-26(a). Ans. (a) i ¼ 10ð1 þ sin tÞ; (b) i ¼ 0:1ðÀ1 þ sin tÞ Fig. 29 and the voltage source. See Fig. 3-26(b). Find the element’s current if the voltage source is (a) v ¼ 1 þ sin t and (b) v ¼ À1 þ sin t. Ans. 1 THE BRANCH CURRENT METHOD In the branch current method a current is assigned to each branch in an active network. Then Kirchhoﬀ’s current law is applied at the principal nodes and the voltages between the nodes employed to relate the currents.
12 Show that for the three capacitances of equal value shown in Fig. 3-17 Ceq ¼ 1:5 C: Fig. 3-17 Fig. 13 Find RH and RO for the voltage divider in Fig. 5 A when VO ¼ 100 V. 14 Using voltage division, calculate V1 and V2 in the network shown in Fig. 3-19. Ans. 1 V Fig. 3-20 Fig. 15 Obtain the source current I and the total power delivered to the circuit in Fig. 3-20. Ans. 16 Show that for four resistors in parallel the current in one branch, for example the branch of R4 , is related to the total current by R0 R1 R2 R3 where R 0 ¼ I4 ¼ IT R4 þ R 0 R1 R2 þ R1 R3 þ R2 R3 34 CIRCUIT LAWS [CHAP.
Schaum's Outline of Theory and Problems of Electric Circuits by Mahmood Nahvi, Joseph Edminister