Two heaters designed for the same voltage \( V \) have different power ratings. When connected i...

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Two heaters designed for the same voltage \( V \) have different power ratings. When connected individually across a source of voltage \( V \), they produce \( H \) a mount of heat each in time \( t_{1} \) and \( t_{2} \) respectively. When used together across the same source, they produce \( H \) amount of heat in time \( t \)
(a) If they are in series, \( t=t_{1}+t_{2} \)
(b) If they are in series, \( t=2\left(t_{1}+t_{2}\right) \)
(c) If they are in parallel, \( t=\frac{t_{1} t_{2}}{\left(t_{1}+t_{2}\right)} \)
(d) If they are in parallel, \( t=\frac{t_{1} t_{2}}{2\left(t_{1}+t_{2}\right)} \)
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