If there is a voltage of 10 volts across the resistor, then a current of 0.5 amperes passes through it, what voltage needs

| February 16, 2021 | education

If there is a voltage of 10 volts across the resistor, then a current of 0.5 amperes passes through it, what voltage needs to be applied to the resistor so that the current becomes 0.25 amperes.

U1 = 10 V.

I1 = 0.5 A.

I2 = 0.25 A.

U2 -?

According to Ohm’s law for a section of a circuit, the current I is directly proportional to the voltage at the ends of the conductor U and inversely proportional to its resistance R: I = U / R.

Let us express the voltage for the second case U2: U2 = I2 * R.

Since the resistance of the conductor R depends only on the conductor itself, we will find it by the formula: R = U1 / I1.

The formula for the second voltage will take the form: U2 = I2 * U1 / I1.

U2 = 0.25 A * 10 V / 0.5 A = 5 V.

Answer: there will be a voltage across the resistor U2 = 5 V.



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