A reading from a digital voltmeter was recorded with 5 significant figures. Howe

Question

A reading from a digital voltmeter was recorded with 5 significant figures. However, the uncertainty in the actual voltage value is much larger because of noise and/or calibration. Record the value of the voltage correctly, using the scientific notations with uncertainties [i.e. like (2.0 plusminus 0.2) times 10^-2]. a) Reading-1.6559 V, uncertainty-1%: b) Reading-0.23468 V, uncertainty-0.3%: c) Reading-5.2543 V, uncertainty-2%: Express your answer to the correct number of significant figures and find the uncertainty. Present the results using the scientific notations. a) The magnetic field B at the centre of a solenoid with n turns per metre, through which a current I passes, is given by B = mu_0 n I, where is mu_0 = 4 pi times 10^-7 H m^-1 is the permittivity of free space. Calculate B if n = (800 plusminus 30) m^-1 and I = (6.5 plusminus 0.2) A. All details of calculations must be provided.

Explanation / Answer

5.

(a) Uncertainty = 1%

(x/1.6559)×100= 1

x = 0.01656

it can be noted as : 1.6559 +- x

(b)

Uncertainty = 0.3%

(x/0.23468)×100=0.3

= 7.04×10-4

=(0.0002+-7.040)×10-4

(c)

Uncertainty = 2%

(x/5.2543)×100= 0.105

5.25+-0.105

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.