Study the circuits (a) and (b) shown in figure and answer the following questions.

(a) Under which conditions would the rms currents in the two circuits be the same?

(b) Can the rms current in circuit (b) be larger than that in (a)?

4 Views|Posted 8 months ago

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Payal Gupta | Contributor-Level 10

8 months ago

This is a short answer type question as classified in NCERT Exemplar

(I_rms)a= $\frac{V_{r m s}}{R}$ = $\frac{V}{R}$

(I_rms)b= $\frac{V_{r m s}}{Z}$ = $\frac{V}{\sqrt[]{R^{2} + (X_{L} - X_{C}) 2}}$

When $(I r m s) a$ = (I_rms)b

Then R= $\sqrt[]{R^{2} + (X_{L} - X_{C}) 2}$

XL=Xc resonance condition

As Z>R $\frac{(I r m s) a}{(I r m s) b}$ = $\frac{\sqrt[]{R^{2} + (X_{L} - X_{C}) 2}}{R}$ = $\frac{Z}{R}$ >1

(I_rms)a > (I_rms)b

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Physics Ncert Solutions Class 12th 2023

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Study the circuits (a) and (b) shown in figure and answer the following questions. (a) Under which conditions would the rms currents in the two circuits be the same? (b) Can the rms current in circuit (b) be larger than that in (a)?

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