By Charles George Lamb
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Extra resources for Alternating Currents -A Text-Book for Students of Engineering
Or if W=K . K Wattmeter error. Throughout the above we have assumed that the current in the shunt circuit is an exact copy of the 32 ALTERNATING CURRENTS 36 such circumstances pressure at its terminals, and it is only under that the wattmeter will measure the true value of the mean we can power. If the pressure and current be sine quantities between difference a of of effect the the phase presence investigate the current in the shunt and the pressure at its terminals as follows. Let OA, Fig. 26, be a vector representing the pressure at Fig.
24, where that, . X O Fig. 24. R is a is to be measured and high non-inductive resistance in series with one of the coils (usually the movable one) which is placed as a shunt on the load, the other coil being in series with Let e denote the pressure at the terminals of the load, cm it. the current in the main, c8 that in the shunt. From the law of 2 the instrument we have mean (cm cs + c s ) = ka since the current in the shunt coil is c g while that in the series coil is cm + c s we have It follows that on multiplying each side by power .
For if such a circuit contained capacity and self-induction only, the Even when resistance is current would be in that case infinite. present this relation leads to the production of very high pressures at the terminals of the different parts of the circuit. Capacity and Impedance in Parallel. The following case Let an inductive circuit be in parallel with a We will show that for some definite capacity the capacity. current is a minimum and then the pressure at the terminals and the total current flowing up to the two are in phase.