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Bulbs in Parallel

N identical c...

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N identical cells are connected to form a batteryWhen the terminals of the battery are joineddirectly, current flows in the circuit. To obtainmaximum value of92, (1) All the cells should be joined in series(2) All the cells should be joined in parallelde(3) Two rows of N/2 cells each should be joined inparallel(4) N rows of N cells each should be joinedin parallel given that VN in an integer

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N

identical cells are connected to form a battery. When the terminals of the battery are joined directly (short-circuited), current

I

flows in the circuit. To obtain the maximum value of

I

\sqrt{N}

^{'} n^{'}

cells, each of emf

^{'} e^{'}

and internal resistance

^{'} r^{'}

are joined in series to form a row.

^{'} m^{'}

such rows are connected in parallel to form a battery of

N = m n

cells. This battery is connected to an external resistance

^{'} R^{'}

Show that current

^{'} I^{'}

flowing through the external resistance

^{'} R^{'}

I = \frac{N e}{m R + n r}

^{'} n^{'}

cells, each of emf

^{'} e^{'}

and internal resistance

^{'} r^{'}

are joined in series to form a row.

^{'} m^{'}

such rows are connected in parallel to form a battery of

N = m n

cells. This battery is connected to an external resistance

^{'} R^{'}

What is the emf of this battery and how much is its internal resistance?

N

identical cells are connected to form a battery. When the terminals of the battery are joined directly (short-circuited), current

I

flows in the circuit. To obtain the maximum value of

I,

n

identical cells, each of emf

E

and internal resistance

r

, are joined in series to form a closed circuit. One of the cells is joined with reversed polarity. The potential difference across each cell, except the cell with the reversed polarity, is

\frac{2 (ρ - 1) E}{n}

ρ

is(integer only)

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