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Moscow Mathematical Olympiad
1951 Moscow Mathematical Olympiad
196
196
Part of
1951 Moscow Mathematical Olympiad
Problems
(1)
MMO 196 Moscow MO 1951 V = I R, 3 equidistant pallel lines, ruler
Source:
8/7/2019
Given three equidistant parallel lines. Express by points of the corresponding lines the values of the resistance, voltage and current in a conductor so as to obtain the voltage
V
=
I
ā
R
V = I \cdot R
V
=
I
ā
R
by connecting with a ruler the points denoting the resistance
R
R
R
and the current
I
I
I
. (Each point of each scale denotes only one number).[hide=similar wording]Three parallel straight lines are given at equal distances from each other. How to depict by points of the corresponding straight lines the values of resistance, voltage and the current in the conductor, so that, applying a ruler to to points depicting the values of resistance R and values of current I, obtain on the voltage scale a point depicting the value of voltage V = I R (point each scale represents one and only one number).
Ruler
parallel
geometry