The resistances of all resistors are the same and equal to 2 ohms. Find the distribution of currents and voltages.

| February 24, 2021 | education

The resistances of all resistors are the same and equal to 2 ohms. Find the distribution of currents and voltages. EMF = 60 V, r = 0.5 Ohm

Let’s use my drawing. We do everything in order, the main thing here is not to make a mistake. Let’s write the formula for the current strength: I1 = I2 = U / Rtot. Let’s write Rtot: Rtot = R + R + R (R + R + R) * 2.75R / (R + R + R) + R. Substitute, reduce, it turns out that Rtotal = 2.75 * 2 = 5.5 (Ohm). Find the current strength: I1 = I2 = 55 / 5.5 = 10 (A). Find the voltage U1: U1 = U2 = I1 * R = 10 * 2 = 20 (V). Now the voltage of U3: U3 = U-U1-U2 = 55-20-20 = 15 (V). Now the strength of the current I3: I3 = U3 / R = 15/2 = 7.5 (Ohm). I4 = I5 = I5 = I1-I3 = 10-7.5 = 2.5 (A). It remains to find only the voltage U4. U4 = U5 = U6 = I4 * R = 2.5 * 2 = 5 (V).



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