1. a)
- Total Resistance: 600 Ω
- Total Current: 0.01 A
- Voltage across 100 Ω: 1 V
- Voltage across 200 Ω: 2 V
- Voltage across 300 Ω: 3 V
b)
- Total Resistance: 54.55 Ω
- Total Current: 0.11 A
- Current through 100 Ω: 0.06 A, Voltage: 6 V
- Current through 200 Ω: 0.03 A, Voltage: 6 V
- Current through 300 Ω: 0.02 A, Voltage: 6 V
c)
- Equivalent resistance of left parallel group (10 Ω || 10 Ω): 5 Ω
- Equivalent resistance of right parallel group (20 Ω || 30 Ω): 12 Ω
- Total Resistance: 20 Ω
- Total Current: 2.5 A
- Voltage across left parallel group: 12.5 V
- Voltage across right parallel group: 30 V
- Voltage across 3 Ω resistor: 7.5 V
- Current through each 10 Ω resistor: 1.25 A
- Current through 20 Ω resistor: 1.5 A
- Current through 30 Ω resistor: 1.0 A
d)
- Equivalent resistance of parallel group (24 Ω || 8 Ω || 12 Ω): 4.8 Ω
- Total Resistance: 10.8 Ω
- Total Current: 0.556 A
- Voltage across parallel group: 2.67 V
- Voltage across 6 Ω resistor: 3.33 V
- Current through 24 Ω: 0.111 A
- Current through 8 Ω: 0.333 A
- Current through 12 Ω: 0.222 A
e)
- Equivalent resistance of top parallel group (2 Ω || 6 Ω): 1.5 Ω
- Equivalent resistance of middle parallel group (8 Ω || 6 Ω): 3.43 Ω
- Total Resistance: 6.93 Ω
- Total Current: 0.722 A
- Voltage across top parallel group: 1.08 V
- Voltage across middle parallel group: 2.48 V
- Voltage across 3 Ω resistor: 2.17 V
- Current through 2 Ω: 0.54 A
- Current through 6 Ω (top): 0.18 A
- Current through 8 Ω: 0.31 A
- Current through 6 Ω (middle): 0.41 A
- Current through 3 Ω: 0.72 A
- Current through 1 Ω: 0.72 A
2.
a) Equivalent Resistance: 550 Ω
b) Current drawn from battery: 0.0218 A
c) Current in the 100 Ω resistor: 0.0042 A
d) Voltage drop across the 500 Ω resistor: 10.91 V
Parent Tip: Review the logic above to help your child master the concept of equivalent resistance worksheet.
