3. Branch circuits in a house wiring system are parallel circuits. A toaster, a coffee maker, and a frying pan are plugged into a kitchen appliance circuit across a 110-V line (Fig.3). The current through the toaster is 8.3A; through the coffee maker, 8.3A; and through the frying pan, 9.6 A. Find (a) the total current from the main line, (b) the voltage across each appliance, and (c) the total resistance of the circuit. V = 110 V "↓ 100 V 8.3 A Toaster 8002 www. R₁ 12↓ R₂ 8.3 A Coffee maker 4. Calculate the value for voltage reading at resistor R1 and current goes thru resistor R6. 4902 5102 wwwww R₂ 3702 www.m W 4502 4↓ 7502 R6 9.6 A Frying pan

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Thevenin Theorem

Any linear circuit, no matter how complex, maybe simplified to an equivalent circuit utilizing only a single voltage source and series resistance coupled to a load, according to Thevenin's Theorem. The superposition principle says that all foundational equations must be linear, and the notion of "linear" is still the same (i.e., there should not be any exponentials or roots). This is particularly the case when operating with passive elements like resistors, inductors, and capacitors. However, some components (particularly some gaseous and semiconductor devices like tunnel diode, Schottky diode, transistors like BJT, MOSFET) are nonlinear, meaning their current resistance fluctuates with voltage and current. As a result, circuits made up of these parts are known as nonlinear circuits.