How many 176 ohm resistors (in parallel) are required to carry 5 A on a 220 V line?

Ohm's law provides a resistor’s equivalent resistance parallelly linked for x number of resistors of resistance 176 Ω as,

⇒ V = IR

Step 1: List the Given Data

Considering the equation as, $R = {{V}\over I}$

Here,

Voltage, V = 220 V
Current, I = 5A
R = Equivalent Resistance of Combination

Step 2: Calculation of the Given Data

${{1} \over R} = x \times {{1} \over (176)}$

R = ${{176} \over x}$

Now, as per Ohm’s Law, we get,

${{V} \over I} = {{176} \over x}$

⇒ $x = {{176 \times 5} \over 220} = 4$

Hence, in order to draw the required amount of current, four 176 Ω resistors will be needed.

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How many 176 ohm resistors (in parallel) are required to carry 5 A on a 220 V line?

Step 1: List the Given Data

Step 2: Calculation of the Given Data

CBSE CLASS XII Related Questions

1.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

3.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

5.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

Similar Physics Concepts

Comments

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How many 176 ohm resistors (in parallel) are required to carry 5 A on a 220 V line?

Step 1: List the Given Data

Step 2: Calculation of the Given Data

CBSE CLASS XII Related Questions

1.A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

3.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

5.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

3.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

5.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?