Problem 2.4 A vessel contains a mixture of nitrogen (?_1=7.0?) and carbon dioxide (?_2=11?) at a temperature ?=290 ? and pressure ?_0=1.0 ???. Find the density of this mixture, assuming the gases to be ideal.
Combination of Errors
Error in Summation
Error in Subtraction
Errors in Product
Errors in division
Errors in Power of Quantity
Accuracy and Precision
Logarithm method to find an error
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Problem 3.19 IE IRODOV
A very long uniformly charged thread oriented along the axis of a circle of radius ? rests on its centre one of the ends. The charge of the thread per unit length is equal to ? find the flux of the vector ? across the circle area.
IRODOV Solution
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Mixed Grouping |Combination of Cells|
Mixed Connection
Let us consider the situation shown in figure.There are ? identical cells in a row and number of rows are ?
Series combination
?_??=∑_(?=1)^?▒?_? and ?_??=∑_(?=1)^?▒?_?
Parallel combination
?_??=(∑_(?=1)^?▒?_?/?_? )/(∑_(?=1)^?▒1/?_? ) and 1/r_eq =∑_(?=1)^?▒1/?_?
?_??=(??/??+…+??/??)/(1/??+…+1/??)=(??/?)/(?/??)=??
?_??=??/?
?=??/(?_???+??/?)
?=??/(?_???+??/?)
?=???/(??_???+??)
We know that
?=?^2 ?_???
?=(???/(??_???+??))^2 ?_???
For power to be maximum
??/(??_??? )=0
After solving
??_???=??
?_???=??/?
????? ???????? ??????????=????? ???????? ??????????
We can say that power transferred to the load are maximum when the load resistance equal to the internal resistance.
This is known as maximum power transfer theorem.
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Problem 6.3 | IE IRODOV
To what minimum distance will an alpha particle with kinetic energy T=0.40 ??? approach in the case of a head-on collision to
(a) a stationary ?? nucleus;
(b) a stationary free ??^7 nucleus?
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Problem 2.3 |Electrostatics |Griffith |3rd ed.
Problem 2.3
Find the electric field a distance z above one end of a straight-line segment of length ? (Fig.) which carries a uniform line charge ?. Check that your formula is consistent with what you would expect for the case z≫?.
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Electric Field due to an Infinite Line Charge
Determine the magnitude of the electric field at any point P a distance ? from the midpoint ? of a very long line (a wire,
say) of uniformly distributed positive charge, Figure. Assume ? is much smaller than the length of the wire, and let ? be the charge per unit length
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