Resistors 10 Ohm and 30 Ohm are connected in series and connected to a source with an EMF of 20 V

| September 1, 2021 | education

Resistors 10 Ohm and 30 Ohm are connected in series and connected to a source with an EMF of 20 V and an internal resistance of 0.5 Ohm. Determine the voltage across each resistor.

Data: Rр1 – resistance of the first resistor (Rр1 = 10 Ohm); Rр2 – resistance of the second resistor (Rр2 = 30 Ohm); ɛ – EMF of the source (ɛ = 20 V); r – internal resistance (r = 0.5 Ohm), series connection.

1) Find the external resistance: R = Rp1 + Rp2 = 10 + 30 = 40 Ohm.

2) We calculate the current in the formed circuit: I = ɛ / (r + R) = 20 / (0.5 + 40) ≈ 0.494 A.

3) Calculate the required voltage across each resistor:

a) Uр1 = I * Rр1 = 0.494 * 10 = 4.94 V;
b) Uр2 = I * Rр1 = 0.494 * 30 = 14.82 V.
Answer: The voltage across the first resistor is 4.94 V, on the second – 14.82 V.



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