The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1V and standard deviation of 0.12 V

The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1V and standard deviation of 0.12 V

Q. The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1V and standard deviation of 0.12 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is__________W .

Sol:

Voltage measurements: X1 = 1 V, σ1 = 0.12 V

Current measurements: X2 = 1 mA, σ2 = 0.05 mA

% σ1 = 12, % σ2 = 5

Standard deviation in resistance measurement

Gkseries: Gkseries.com is a premier website to provide complete solution for online preparation of different competitive exams like UPSC, SBI PO, SBI clerical, PCS, IPS, IAS, IBPS PO, IBPS Clerical exam etc. & other graduate and post-graduate exams. Learn more on about us page