SPH3U Circuits Analysis Worksheet Part 2 Recall: How do V, I, and R relate in a circuit?_ The most basic ways to connect loads are in series and parallel. Series circuits offer _ _for charges to flow (charges flow from one load to the next in series) while parallel offer charges a "choice". Kirchhoff's Laws Kirchhoff's Current Law - out = lin for any junction Kirchhoff's Voltage Law - The sum of all voltage increases in any complete circuit loop is equal to the sum of all voltage decreases It's really just conservation of energy! Vout = Vin These laws can be applied to determine some general rules of circuits. Consider a series circuit with 3 resistors: From Kirchhoff's Voltage Law: VT = V1 + V2 + V3 From Ohm's Law: TRY = (1R1 + 12R2 + 13R3 From Kirchhoff's Current Law: IT = 1 = 12 = 13 Therefore, in a series circuit, RT = R1 + R2 + Rg + .. Consider a parallel circuit with 3 resistors: From Kirchhoff's Current Law: IT = 1 + 12 + 13 From Ohm's Law: RT R R, rom Kirchhoff's Voltage Law: VT = V1 = V2 = V3 Therefore, in a parallel circuit, R , R, + R, + . Example 1 For the following circuit, find the values for Isource, lolz,l3, V1, V2, V3. 12.0V. and Rtotal. Where R, = 15.0 02, R2 = 25.0 02, R3 = 35.0 02, and V = VIV [A] R[Q] Example 2 For the following circuit Vsource = 12.0 V, 1, = 0.50 A, V3 = 2.5 V, VA = 5.0 V, and R3 = 10.0 $2. Find Isource, 12, 13, 14, Vi, Vz, Ry, R2, R4, and Rtotal. R3 VIV] [A] R[Q] M A W N Without calculating(!), think about how you would simplify the resistors in this diagram. mi mesWithout calculating(!), think about how you would simplify the resistors in this diagram. R2 R5 R6 R3 RT R8 -M R1 R4 R9 R17 R13 R12 R15 R14 R16 11.9 Questions 1. For each of the circuit diagrams below, the source has a (d) voltage of 6.0 V. Each resistor has resistance 12.0 $2. Find all the other values of current, voltage, and resistance. IT Re R2 2. Draw a circuit diagram with a voltage source and three resistors connected in series. Vsource = 15.0 V, V/2 = 4.0 V, Ry = 30.0 0, and 2 = 0.20 A. Find V,, V/s. h, ha. bounces R2. Ra, and Rutal. TAG 3. Draw a circuit diagram with a voltage source and three R3 resistors connected in parallel. Vaource = 1.5 V, h = 0.10 A, 2 = 7.5 0, and Ry = 5.0 $2. Find V1, V/2. V/3, h, b. home, Ry. and Rutal Tag RS 4. For the circuit diagram shown in Figure 6, V, = 2.5 V, Va = 5.0 V, b= 0.30 A, b = 0.50 A, 4 = 0.10 A, and Re = 70.0 $2. Find Vsauce. V/2. VA. V/s. bounces h, k. Ry, Riz, Rs. Rs. and Rutal- Tal C R2 M Figure 6