Question

How many resistors of 88 ohm are connected in parallel?

Answer 1

To determine **how many 88-ohm resistors are connected in parallel**, we need **more information**, such as:

* The **total equivalent resistance** of the parallel combination
* Or the **total current and voltage**, which could help derive the equivalent resistance using Ohm's law

But since your question is open-ended ("how many resistors..."), I'll explain how to calculate it **step by step** assuming that we are given the **equivalent resistance** of the combination.

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###  Basic Formula for Resistors in Parallel

When resistors of the **same resistance value** are connected in parallel, the equivalent resistance $R_{eq}$ is calculated using the formula:

$$
\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots + \frac{1}{R_n}
$$

For **n resistors** of equal value $R$, this becomes:

$$
\frac{1}{R_{eq}} = \frac{n}{R}
\quad \text{or} \quad
R_{eq} = \frac{R}{n}
$$

So, if you know the equivalent resistance and you know each resistor has 88 ohms, you can rearrange the formula to find $n$:

$$
n = \frac{R}{R_{eq}} = \frac{88}{R_{eq}}
$$

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### ✅ Example:

Let’s say the total equivalent resistance of the parallel network is **11 ohms**.

$$
n = \frac{88}{11} = 8
$$

So, **8 resistors** of 88 ohms each are connected in parallel.

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###  Summary

* You **need the equivalent resistance** to find how many resistors are connected in parallel.
* Use the formula $n = \frac{88}{R_{eq}}$
* The more resistors you connect in parallel, the **lower** the equivalent resistance becomes.

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Would you like to provide the equivalent resistance so we can calculate the exact number?