High School

Find [tex]V_1[/tex] when [tex]R_1 = 10[/tex] kilo-ohms, [tex]R_2 = 13[/tex] kilo-ohms, and [tex]I = 20[/tex] mA.

Answer :

To find V1, we use Ohm's law V = IR with the given values after converting them to consistent units. R1 is converted to ohms and I to amperes, resulting in V1 = 200 volts.

To find V1, the voltage across resistor R1, we use Ohm's law which relates voltage (V), current (I), and resistance (R) in the formula V = IR. Given that R1 is 10 kilo-ohms and the current I is 20 mA, we need to convert units to ensure consistency. We convert R1 to ohms (1 kilo-ohm = 1,000 ohms) and I to amperes (1 mA = 0.001 A).

Now, R1 = 10,000 ohms and I = 0.02 A. Using Ohm's law:

V1 = I imes R1 = 0.02 A imes 10,000 ohms = 200 volts.

Therefore, the voltage across resistor R1 is 200 volts.