12 Ω 11Ω 3 24 Ω 4 Ω 12 24 Ω 17 Ω 6 Ω 4 Ω 2 RT = 11 + 3 + 17 + 2 = 33 Ω
11 Ω 9.2 Ω 8.8 24 Ω 44 Ω 6 8 Ω 4.5 Ω 30 Ω 5 Ω 2.5 RT = 9.2 + 8.8 + 4.5 + 2.5 = 25 Ω
All resistors in series get the same current All voltages in series add All resistors in parallel get the same voltages All currents in parallel add
Which resistors get 3 amps of current? RT = 33 Ω VT = ITRT 99 = IT(33) IT = 3 amps 12 Ω 11Ω V = IR 3 V = (3)3 24 Ω 4 Ω 99 V *V = 9 V 24 Ω 17 Ω 6 Ω 4 Ω * (each resistor in this group gets 9 V) V = IR V = (3)2 *V = 6 V 2 * (each resistor in this group gets 6 V) Which resistors get 3 amps of current? The 11 ohm and the 17 ohm (and each parallel group)
R (Ω) I (amps) V (volts) P (watts) 24 6 4 17 12 11 0.25 1.5 6 0.25 6 1.5 1 6 6 1.5 6 9 3 51 153 2.25 9 20.25 6.75 0.75 9 3 33 99 P total = 297 watts
Which resistors get 2 amps of current? RT = 25 Ω VT = ITRT 50 = IT(25) IT = 2 amps 11 Ω 9.2 Ω V = IR 8.8 V = (2)8.8 24 Ω 44 Ω 50 V *V = 17.6 V 8 Ω 4.5 Ω 30 Ω 5 Ω * (each resistor in this group gets 17.6 V) V = IR V = (2)2.5 *V = 5 V 2.5 * (each resistor in this group gets 5 V) Which resistors get 2 amps of current? The 9.2 ohm and the 4.5 ohm (and each parallel group)
R (Ω) I (amps) V (volts) P (watts) 24 8 30 5 4.5 11 44 9.2 0.21 1.04 5 0.625 5 3.125 0.17 5 0.83 1 5 5 2 9 18 1.6 17.6 28.16 7.04 0.4 17.6 2 18.4 36.8 P total = 99.98 watts