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9. For the given circuit, find (a) the total resistance, (b) each branch current, and (c) the total current.

9. For the given circuit, find (a) the total resistance, (b) each branch current, and (c) the total current.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need answer for 10. the 2nd pic is the reference for how it's being taught to us

9. For the given circuit, find (a) the total resistance, (b) each branch current, and (c) the total curent. v - 12 v R, 20 a R$ 30 a 10. Find I3 in the parallel circuit using current divider. , 9% mA R,3 sa R. 10 A
Transcribed Image Text:9. For the given circuit, find (a) the total resistance, (b) each branch current, and (c) the total curent. v - 12 v R, 20 a R$ 30 a 10. Find I3 in the parallel circuit using current divider. , 9% mA R,3 sa R. 10 A
> To determine the voltage across each resistor; Ohm's Law R1 R2 a Vị = iR1, V2 = iR2 ww Substitute V i = Reg V %3D R1 + R2 R1 . V, = R1 + R2 R2 . V2 = R1 + R2 V b Note that source voltage v is divided among the resistors in direct proportion to their resistances This is regarded as the principle of voltage division In general, if a voltage supply has N resistors in series with the source voltage v, the nth resistor (Rn) can be expressed as: Rn Vn = R1 + R2 + …+ RN VI. Parallel Resistors and Current Division > What is Parallel? Two or more elements are in parallel if they are connected to the same two nods and consequently have the same voltages across them. The equivalent resistance o 2 parallel resistors is equal to the product of their resistance divided by their sum. Node a 1 =-+ R1' R2 R,R2 1 Req Req R1 + R2 R1 R2 Generally, the equivalent resistance of a circuit with N resistors in parallel is: 1 1 =-+ R1' R2 1 Node b Reg +...+ RN The current in a parallel circuit is equivalent to the summation of all branch currents in the circuit i = leq = I1 + 12 + …+ In The resistance voltages are each equal to the source voltage of the parallel circuit. V = Veg = V1 = V2 = = VN > To determine the current through each resistor Ohm's Law i̟ = iz = Substitute iR, R2 v = iReq R3+R2 iR2 . i, = R1 + R2 iR1 . i2 = R1 + R2 Note that the total current i is shared by the resistors in inverse proportion to their resistances. This is regarded as the principle of current division Generally Reg in = ieq Rn
Transcribed Image Text:> To determine the voltage across each resistor; Ohm's Law R1 R2 a Vị = iR1, V2 = iR2 ww Substitute V i = Reg V %3D R1 + R2 R1 . V, = R1 + R2 R2 . V2 = R1 + R2 V b Note that source voltage v is divided among the resistors in direct proportion to their resistances This is regarded as the principle of voltage division In general, if a voltage supply has N resistors in series with the source voltage v, the nth resistor (Rn) can be expressed as: Rn Vn = R1 + R2 + …+ RN VI. Parallel Resistors and Current Division > What is Parallel? Two or more elements are in parallel if they are connected to the same two nods and consequently have the same voltages across them. The equivalent resistance o 2 parallel resistors is equal to the product of their resistance divided by their sum. Node a 1 =-+ R1' R2 R,R2 1 Req Req R1 + R2 R1 R2 Generally, the equivalent resistance of a circuit with N resistors in parallel is: 1 1 =-+ R1' R2 1 Node b Reg +...+ RN The current in a parallel circuit is equivalent to the summation of all branch currents in the circuit i = leq = I1 + 12 + …+ In The resistance voltages are each equal to the source voltage of the parallel circuit. V = Veg = V1 = V2 = = VN > To determine the current through each resistor Ohm's Law i̟ = iz = Substitute iR, R2 v = iReq R3+R2 iR2 . i, = R1 + R2 iR1 . i2 = R1 + R2 Note that the total current i is shared by the resistors in inverse proportion to their resistances. This is regarded as the principle of current division Generally Reg in = ieq Rn
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