The value of R required to make the galvanometer measure voltage up to 40V in the diagram above
Attached Figure / Diagram
A
1885\(\Omega\)
B
1990\(\Omega\)
C
1995\(\Omega\)
D
1100\(\Omega\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
To find the value of R required to make the galvanometer measure up to 40 V, we can use the following formula for a series circuit involving a galvanometer
V = I ( R + r )
R = \(\frac{\text{V}}{\text{I}}\) - r
where R = resistance in series = ?, V = total voltage = 40V, I = current through galvanometer = 20Am = 0.02A and r = internal resistance = 10\(\Omega\)
R = \(\frac{40}{0.02}\) - 10
R = 2000 - 10 = 1990\(\Omega\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #70364)