Distinguish between the terms 'effective value' and 'peak value' of an alternating current. An alternating current from a source is represented by
I = 10 sin (314 t)
Write the corresponding values of:
(i) its 'effective value'
(ii) frequency of the source.

Solution

Effective value of a.c.: The value of direct current which produces the same heating effect in a given resistor as is produced by the given alternating current when passed for the same time is termed as effective value of a.c.
Peak value of a.c.: The maximum value attained by an alternating current in either of its half cycle is called its peak value.
$I_{eff} = \frac{I_{0}}{\sqrt{2}}$

Given, $I = 10 \sin (314 t)$

Comparing with $I = I_{0} \sin 2 πft,$ we get

$I_{0} = 10 A$

(i) Rms value/ effective value of current

$I_{eff} = \frac{I_{0}}{\sqrt{2}} = 0.707 \times 10 = 7.07 A .$

(ii) Frequency of the source,
$ω = 2 πf = 314$

Therefore,

$f = \frac{314}{2 π} = \frac{314}{2 \times 3.14} = 50 H_{z} .$

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Electrostatic Potential And Capacitance

Distinguish between the terms 'effective value' and 'peak value' of an alternating current. An alternating current from a source is represented by
I = 10 sin (314 t)
Write the corresponding values of:
(i) its 'effective value'
(ii) frequency of the source.

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Electrostatic Potential And Capacitance

Distinguish between the terms 'effective value' and 'peak value' of an alternating current. An alternating current from a source is represented byI = 10 sin (314 t)Write the corresponding values of:(i) its 'effective value'(ii) frequency of the source.

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Distinguish between the terms 'effective value' and 'peak value' of an alternating current. An alternating current from a source is represented by
I = 10 sin (314 t)
Write the corresponding values of:
(i) its 'effective value'
(ii) frequency of the source.