a.i. State Ohm's law. 10.a.ii. Name two types of electric circuits. 10.b. Calculate the maximum and minimum resistance using three resistors with values 5 Ω, 10 Ω, and 20 Ω.

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Asked on May 5, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

Accepted Answer · 2026-05-05T18:01:42.812Z

Here are the solutions to question 10: 10.a.i: Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. Mathematically, it is expressed as V = IR, where V is voltage, I is current, and R is resistance. 10.a.ii: Two types of electric circuits are: • Series circuit • Parallel circuit 10.b: Given resistors: R_1 = 5 \, , R_2 = 10 \, , R_3 = 20 \, . Step 1: Calculate the maximum resistance. Maximum resistance is obtained when the resistors are connected in series. R_max = R_1 + R_2 + R_3 R_max = 5 \, + 10 \, + 20 \, R_max = 35 \, Step 2: Calculate the minimum resistance. Minimum resistance is obtained when the resistors are connected in parallel. (1)/(R_min) = (1)/(R_1) + (1)/(R_2) + (1)/(R_3) (1)/(R_min) = (1)/(5 \, ) + (1)/(10 \, ) + (1)/(20 \, ) (1)/(R_min) = (4)/(20 \, ) + (2)/(20 \, ) + (1)/(20 \, ) (1)/(R_min) = (4+2+1)/(20 \, ) (1)/(R_min) = (7)/(20 \, ) R_min = (20)/(7) \, R_min ≈ 2.86 \, The maximum resistance is 35 and the minimum resistance is 2.86 . 10.c.i: When Switch K1 is closed (and K2 is open). Step 1: Determine the total resistance. With K1 closed and K2 open, the 5 \, and 3 \, resistors are in series. R_total = 5 \, + 3 \, R_total = 8 \, Step 2: Calculate the current using Ohm's Law. The voltage source is V = 2 \, V. I = (V)/(R_total) I = (2 \, V)/(8 \, ) I = 0.25 \, A The current passing through the circuit is 0.25 A. 10.c.ii: When Switches K1 and K2 are both closed. Step 1: Determine the total resistance. With K1 closed and K2 closed, switch K2 short-circuits the 3 \, resistor. This means current will flow through K2 and bypass the 3 \, resistor, effectively removing it from the circuit. Only the 5 \, resistor remains in the path of the current. R_total = 5 \, Step 2: Calculate the current using Ohm's Law. The voltage source is V = 2 \, V. I = (V)/(R_total) I = (2 \, V)/(5 \, ) I = 0.4 \, A The current passing through the circuit is 0.4 A. Send me the next one 📸

Accepted Answer · 2026-05-05T18:01:42.812Z

Here are the solutions to question 10: 10.a.i: Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. Mathematically, it is expressed as V = IR, where V is voltage, I is current, and R is resistance. 10.a.ii: Two types of electric circuits are: • Series circuit • Parallel circuit 10.b: Given resistors: R_1 = 5 \, , R_2 = 10 \, , R_3 = 20 \, . Step 1: Calculate the maximum resistance. Maximum resistance is obtained when the resistors are connected in series. R_max = R_1 + R_2 + R_3 R_max = 5 \, + 10 \, + 20 \, R_max = 35 \, Step 2: Calculate the minimum resistance. Minimum resistance is obtained when the resistors are connected in parallel. (1)/(R_min) = (1)/(R_1) + (1)/(R_2) + (1)/(R_3) (1)/(R_min) = (1)/(5 \, ) + (1)/(10 \, ) + (1)/(20 \, ) (1)/(R_min) = (4)/(20 \, ) + (2)/(20 \, ) + (1)/(20 \, ) (1)/(R_min) = (4+2+1)/(20 \, ) (1)/(R_min) = (7)/(20 \, ) R_min = (20)/(7) \, R_min ≈ 2.86 \, The maximum resistance is 35 and the minimum resistance is 2.86 . 10.c.i: When Switch K1 is closed (and K2 is open). Step 1: Determine the total resistance. With K1 closed and K2 open, the 5 \, and 3 \, resistors are in series. R_total = 5 \, + 3 \, R_total = 8 \, Step 2: Calculate the current using Ohm's Law. The voltage source is V = 2 \, V. I = (V)/(R_total) I = (2 \, V)/(8 \, ) I = 0.25 \, A The current passing through the circuit is 0.25 A. 10.c.ii: When Switches K1 and K2 are both closed. Step 1: Determine the total resistance. With K1 closed and K2 closed, switch K2 short-circuits the 3 \, resistor. This means current will flow through K2 and bypass the 3 \, resistor, effectively removing it from the circuit. Only the 5 \, resistor remains in the path of the current. R_total = 5 \, Step 2: Calculate the current using Ohm's Law. The voltage source is V = 2 \, V. I = (V)/(R_total) I = (2 \, V)/(5 \, ) I = 0.4 \, A The current passing through the circuit is 0.4 A. Send me the next one 📸

a.i. State Ohm's law. 10.a.ii. Name two types of electric circuits. 10.b. Calculate the maximum and minimum resistance using three resistors with values 5 Ω, 10 Ω, and 20 Ω.

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a.i. State Ohm's law. 10.a.ii. Name two types of electric circuits. 10.b. Calculate the maximum and minimum resistance using three resistors with values 5 Ω, 10 Ω, and 20 Ω.

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