Potential Divider Formula: Vout = V × (R2 / (R1 + R2))

Steps:

• Original Vout depends on ratio R2 / (R1 + R2); to increase Vout, increase this ratio.
• For option A: Doubling R1 increases denominator more than halving R2 decreases it, so ratio decreases.
• For option B: Halving R1 decreases denominator, doubling R2 increases numerator, so ratio increases.
• For options C and D: Halving both R1 and R2 keeps ratio unchanged, so Vout stays the same.

Why B is correct:

• Halving R1 reduces the total resistance more proportionally than doubling R2 increases it, raising the R2 fraction per the divider formula.

Why the others are wrong:

• A: Net effect increases R1's influence, lowering Vout.
• C: Ratio R2/(R1+R2) remains identical after scaling both by 1/2.
• D: Identical to C, no change in Vout.

Final answer: B