(a) What is the resistance of ten$\mathbf{275}\mathbf{-}\mathbf{\Omega }$resistors connected in series? (b) In parallel?

An unwillingness to accept anything, such as a change or a new thought, is known as resistance.

Resistance in series: When resistors are daisy-chained together in a single line and a common current flows through them, they are said to be connected in series.

Resistance in parallel: In a parallel circuit, the total resistance is always less than any of the branch resistances. The total resistance in the circuit decreases when more parallel resistances are added to the lines.

(a)

The equivalent resistance of the n resistors with each of resistance and connected in series can be expressed as,

${\mathrm{R}}_{\mathrm{s}}=\mathrm{nR}$

Therefore, substituting the given data, we will get,

$$\begin{gathered} R_s=10\times 275 \\ =2750\Omega \end{gathered}$$

Thus, the resistance of ten $275\Omega$resistors connected in series is $2750\Omega$.

(b)

The equivalent resistance of the n resistors with each of resistance and connected in parallel can be expressed as,

${\mathrm{R}}_{\mathrm{P}}=\frac{\mathrm{R}}{\mathrm{n}}$

Therefore, substituting the given data, we will get,

$$\begin{gathered} {\mathrm{R}}_{\mathrm{P}}=\frac{275\mathrm{\Omega }}{10} \\ =27.50\mathrm{\Omega } \end{gathered}$$

Hence, the resistance of ten$275\Omega$resistors connected in parallel is$27.50\Omega$.