Question

1. Use a series of source transformations to find the power dissipated by the 10 kOhm resistor in the circuit below. 6 ΚΩ 10 ΚΩ 60 V 12 ΚΩ 6 ΚΩ 10 mA 2. Find the Thevenin equivalent circuit of the circuit shown below. +V. - 4 Ω 2ΗΩ 2 mA (1 4V.

Answer 1

Л) lok s M GOV (1) loma izkr V - 10mA 6x103 In the given circuit Gov source is in series with 6kr resists. This can be Converted into current source with a Paralla resists.so, Gov 6E5 And also loma current Parallel with Skod and it can be converted into voltage source in series with resist&.so, V=IR = (10x103) (6X163) - GON Now the above circuit is moditied as, M source is in loka IOMA 12ks 12kst Gov so Now okr, 12k2 are in paralled so effective resistance, GODOX 12010 R= - 40oor fk tak 6000+12 000 (6K) (izk) - GKR with And this 4ks is in Parallel 10 mA source so, it converts into voltage source then,

v=IR = (10x103) (4x103) you 1 Now the circuit becomes, uko no w ifkar bov loker you In the above circuit the current Hows in lokh is let 1 amps. and this corrent flow is from high potential to low Potential. I- 60 - 40 4kt lokt 6k IMA 20k Now, the power dissipated by loker resierto, is P= I'R = (1103) x (toxi3) = 10x10 W - 10 mW

- ukr - А M DK2 2mA + uva for the given circuit to find the we have to the venin equivalent circuit bind the venir voltage van, thevenin Impedance Zyth finding Veh zna source alone is acting then short Circuit the voltage sowile then, АДА 사 akr N Vah Va + A 2MA akor K Y In the given due to open at terminalt Current flow in kol and the Vana Xry are short circuted But the Vxy Noltage across aker is, Val - IR (2x103) (2010) = 4V

Now 4 Va is alone acting then open Circuit source Current then, 4a = 4x4 = 16V Now circuit is, A zkr 0.C ula = 16V Y Now, the open circuit Voltage, the - Vxy - Uva 16u. total theveuen Voltage, Veen= thit the - 0416 = 16v finding th To tind, Replace current source with open circuit, shot cernit the voltage source the tind impedance seen from open side. then, M zkr Zyl holewovent in 2ks so 1 So, from above, zau=462 ( Now the tinal the venen curcuit is, eliminate it) th ने 16V