Question $1(20$ marks$)$

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$($a$)$

A resistance of $$is selected as the base resistance in a circuit consists of three resistors. If $$and $$calculate the per$-$unit value of each resistance.

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$(3$ marks$)$

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$($b$)$

A power of$,$and a voltage of$,$ are selected as the base power and base voltage of a power system respectively. Calculate the value of the base impedance, $$and the base current, $.$

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$(2$ marks$)$

$($c$)$

A resistor has a per$-$unit value of $5\mathrm{.}3.$ Given the base power is $$and the base voltage is $$calculate the ohmic value $($actual value$)$ of the resistor.

$(3$ marks$)$

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$($d$)$

A $$resistor carries a current of $.$ Given the base value of voltage, $$the base value of power, $$the base value of current, $$and the base value of resistor, $$calculate the following:

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$$ i$.$ The per$-$unit resistance.

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$(2$ marks$)$

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$$ii$.$ The per$-$unit current.

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$(2$ marks$)$

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iii.$$ The per$-$unit voltage across the resistor.

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$(2$ marks$)$

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iv$.$ The per$-$unit power.

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$(2$ marks$)$

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v$.$ The actual voltage across the resistor.

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$(2$ marks$)$

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vi$.$ The actual power dissipated in the resistor.

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$(2$ marks$)$

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$..\mathrm{.}3/-$