Question

In the ˚uit with r1 = 500k ohm, find the value of r2 to obtain a 1 V multimeter reading between points b and c.

a) 250k ohm
b) 500k ohm
c) 750k ohm
d) 1M ohm

Answer 1

To obtain a 1 V multimeter reading between points b and c in the given circuit, the value of r2 should be 500k ohm.

Step-by-step explanation:

To find the value of r2 in order to obtain a 1 V multimeter reading between points b and c, we can apply Ohm's Law and the principle of voltage division. In a series circuit, the total voltage is divided among the resistors based on their respective resistance values. Since we want a 1 V reading between points b and c, and we have a known resistance value of r1 = 500k ohm, we can determine the value of r2 using the voltage division formula:

Vr2 = Vtotal × (r2 / (r1 + r2))

Substituting the known values, we have:
Vr2 = 1 V × (r2 / (500k + r2))

Simplifying the equation, we get:
1 V × (r2 + 500k) = r2

Solving for r2, we find:
r2 = 500k ohm