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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CBSE CLASS XII Related Questions

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Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.
If T is the time period of the rotation of the coil, at what values of t in a cycle, the emf generator is maximum ?

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Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

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Comments

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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

1.In a telescope the objective has much larger aperture than the eye piece. Why ?

3.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.If T is the time period of the rotation of the coil, at what values of t in a cycle, the emf generator is maximum ?

6.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
In a telescope the objective has much larger aperture than the eye piece. Why ?

3.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

4.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.
If T is the time period of the rotation of the coil, at what values of t in a cycle, the emf generator is maximum ?

6.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?