Difference between revisions of "Voltage and Current Dividers"
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In the circuit above, |
In the circuit above, |
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<math>\frac{v_1}{ |
<math>\frac{v_1}{v}=\frac{R_1}{R_1+R_2}</math> |
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or |
or |
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<math>v_1=\frac{R_1}{R_1+R_2} |
<math>v_1=\frac{R_1}{R_1+R_2}v</math> |
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We can generalize this equation for <math>N</math> number of resistances in series with the equation: |
We can generalize this equation for <math>N</math> number of resistances in series with the equation: |
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<math>v_k=\frac{R_k}{R_1+R_2+\cdot\cdot\cdot+R_N} |
<math>v_k=\frac{R_k}{R_1+R_2+\cdot\cdot\cdot+R_N}v</math> |
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where <math> |
where <math>v</math> is the voltage across the whole string of resistors. |
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==Current Division== |
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When we have a |
Revision as of 11:38, 15 June 2006
Voltage Division
When we have a voltage source and resistors connected in series, we can express the voltage across a resistor as a ratio of voltages and resistances, without ever knowing the current.
In the circuit above,
or
We can generalize this equation for number of resistances in series with the equation:
where is the voltage across the whole string of resistors.
Current Division
When we have a