The resistance R=V/I, where V = 100 ± 5.0 V and I = 10 ± 0.2A. What is the total error in R?

Step 1: Given Data

Voltage = 100 ± 5.0V

Current = 10 ± 0.2A

Step 2: Formula Used

${\triangle R \over R} = \pm ({\triangle V \over V} + {\triangle I \over I})$

Step 3: Calculating the error in the resistance
${\triangle R \over R} = \pm ({\triangle 5 \over 100} + {\triangle 0.2 \over 10})$
${\triangle R \over R} = \pm (0.05 +0.02)$
${\triangle R \over R} = \pm 0.07$
The percentage error will be

${\triangle R \over R} \times 100 = 0.07 \times 100 $
${\triangle R \over R} \times 100 = 7$%

The total percentage error in the resistance will be 7%.

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The resistance R=V/I, where V = 100 ± 5.0 V and I = 10 ± 0.2A. What is the total error in R?

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2.
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?

3.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

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The resistance R=V/I, where V = 100 ± 5.0 V and I = 10 ± 0.2A. What is the total error in R?

Related Questions

CBSE CLASS XII Related Questions

2.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?

3. The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
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?

3.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.