Convert abmho to mho
Learn how to convert
1
abmho to
mho
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(abmho\right)={\color{rgb(20,165,174)} x}\left(mho\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(siemens\right)\)
\(\text{Left side: 1.0 } \left(abmho\right) = {\color{rgb(89,182,91)} 10^{9}\left(siemens\right)} = {\color{rgb(89,182,91)} 10^{9}\left(S\right)}\)
\(\text{Right side: 1.0 } \left(mho\right) = {\color{rgb(125,164,120)} 1.0\left(siemens\right)} = {\color{rgb(125,164,120)} 1.0\left(S\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(abmho\right)={\color{rgb(20,165,174)} x}\left(mho\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{9}} \times {\color{rgb(89,182,91)} \left(siemens\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(siemens\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{9}} \cdot {\color{rgb(89,182,91)} \left(S\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(S\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{9}} \cdot {\color{rgb(89,182,91)} \cancel{\left(S\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(S\right)}}\)
\(\text{Conversion Equation}\)
\(10^{9} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(10^{9} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10^{9}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1000000000 = 1 \times 10^{9}\)
\(\text{Conversion Equation}\)
\(1.0\left(abmho\right) = {\color{rgb(20,165,174)} 1 \times 10^{9}}\left(mho\right)\)
