Question

If the resistances I6R, 64R, .......... $\infty$are connected in series, their resultant will be

• A. 0
• B. $\infty$
• C. 4/3 R
• D. 3/4 R

Answer 1

Answer: (B)

$\infty$

The equivalent resistance of N resistors connected in series is given by,
$R_{Equivalent}=R_1+R_2+R_3+...+R_N$

hence,

$R_{Equivalent}=16R+64R+256R+...$

Clearly,the above series diverge for nonzero values of R.
Hence B is correct