You work as a test engineer for a global manufacturer of electrical and mechanical components and systems.Your Line manager is responsable for delagating to you and your collegues the testing of theory,principles and hypotheses fromseveral worldwide company divisions .She has asked you to undertake a series of evaluations. a) The power (P) dissapated in a resistor (R) which is subjected to a voltage (V) across its terminals is given by the well known formula; P=V^2/R use the dimension of P and V to determine the dimensions of (R)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section29.5: Resistors In Parallel
Problem 29.7CE
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You work as a test engineer for a global manufacturer of electrical and mechanical components and systems.Your Line manager is responsable for delagating to you and your collegues the testing of theory,principles and hypotheses fromseveral worldwide company divisions .She has asked you to undertake a series of evaluations.

a) The power (P) dissapated in a resistor (R) which is subjected to a voltage (V) across its terminals is given by the well known formula;

P=V^2/R

use the dimension of P and V to determine the dimensions of (R)

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Follow-up Question

Voltage on my table is V=[L^0.5 M^0.5 T^-1]

if i was to use this V how would the equation turn out

[mass]
[length]
[time]
[area]
[volume]
[density]
[velocity]
[acceleration]
[force]
[moment of force, torque]
[impulse]
[momentum]
[work]
[kinetic energy]
[power]
[electrical charge]
[current]
[electric potential energy]
[voltage]
[capacitance]
[inductance]
[electrical resistance]
M
L
T
[length x length]
[area x length]
[mass/volume]
[length/time]
[velocity/time]
[mass x acceleration]
MLT-2 x L
time]
[mass x velocity]
[force x distance]
[mass x (velocity)²]
[work/time]
[length x (force)05]
[electrical charge/time]
[charge2/distance]
[electric potential energy/charge]
[charge/voltage]
[voltage x time/current]
[voltage/current]
M
L
T
L²
L3
ML-3
LT-1
LT-²
MLT-²
ML²T-²
MLT¹
MLT-¹
ML²T-²
ML²T-²
ML²T-3
L1.5M0.5T-1
L¹.5M0.5T-2
L²MT²
L05M0ST
L
L-¹T²
L''T
Transcribed Image Text:[mass] [length] [time] [area] [volume] [density] [velocity] [acceleration] [force] [moment of force, torque] [impulse] [momentum] [work] [kinetic energy] [power] [electrical charge] [current] [electric potential energy] [voltage] [capacitance] [inductance] [electrical resistance] M L T [length x length] [area x length] [mass/volume] [length/time] [velocity/time] [mass x acceleration] MLT-2 x L time] [mass x velocity] [force x distance] [mass x (velocity)²] [work/time] [length x (force)05] [electrical charge/time] [charge2/distance] [electric potential energy/charge] [charge/voltage] [voltage x time/current] [voltage/current] M L T L² L3 ML-3 LT-1 LT-² MLT-² ML²T-² MLT¹ MLT-¹ ML²T-² ML²T-² ML²T-3 L1.5M0.5T-1 L¹.5M0.5T-2 L²MT² L05M0ST L L-¹T² L''T
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Follow-up Question

i should have said where;

p=V^2/R

P=[ML^2 T^-3]

V=[L^0.5 M^0.5 T^-1]

 

solve for R

Solution
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