A student carried out an experiment to determine how the current I measured in amperes (A) flowing through an electronic device varies when the voltage V measured in Volts (V) across the device is varied. The results were tabulated below: V (Volts) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 I (mA)|1E-05 0.0002 0.0027 0.0433 0.5880 8.0055 120 1785 It is thought that the variables V and I are related by the law: I = I₂ eV/VT Where and n are constants to be determined and VT = 0.025 V (i) Using logarithms, determine a linear form of the above law and explain how the values of the constants a and n may be determined from a suitable linear graph. Type your answer here: (ii) Use Microsoft Excel to plot the graph in (i) above use it to determine the values of the constants and n. Present your answer:
A student carried out an experiment to determine how the current I measured in amperes (A) flowing through an electronic device varies when the voltage V measured in Volts (V) across the device is varied. The results were tabulated below: V (Volts) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 I (mA)|1E-05 0.0002 0.0027 0.0433 0.5880 8.0055 120 1785 It is thought that the variables V and I are related by the law: I = I₂ eV/VT Where and n are constants to be determined and VT = 0.025 V (i) Using logarithms, determine a linear form of the above law and explain how the values of the constants a and n may be determined from a suitable linear graph. Type your answer here: (ii) Use Microsoft Excel to plot the graph in (i) above use it to determine the values of the constants and n. Present your answer:
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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Question
Transcribed Image Text:Q2 (b) A student carried out an experiment to determine how the current I
measured in amperes (A) flowing through an electronic device varies
when the voltage V measured in Volts (V) across the device is varied.
The results were tabulated below:
V
(Volts) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
I (mA) |1E-05 0.0002 0.0027 0.0433 0.5880 8.0055 120 1785
It is thought that the variables V and I are related by the law:
I = 1₂e/v₁
V/nVT
Where and n are constants to be determined and VT = 0.025 V
(i) Using logarithms, determine a linear form of the above law and
explain how the values of the constants a and n
determined from a suitable linear graph.
Type your answer here:
may be
(ii) Use Microsoft Excel to plot the graph in (i) above use it to
determine the values of the constants and n.
Present your answer:
(c) A particle is moving such that its instantaneous speed as a
function of time t (s) is given as
v(t) = 6t² + 2t + 4
And its position at t=0, is s(0)=0 m.
(i) Using calculus, determine an expression for the distance
travelled by the particle s(t) and use it to find the distance
travelled when t=5 s.
Type your answer here:
(ii) Using calculus, determine the distance travelled during the
interval t=3 s to 6 s.
Type your answer here:
(iii) Using calculus, derive an expression for the acceleration
a(t)
of the particle and use it to find the acceleration of
the particle at t=5 s.
Type your answer here:
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