The emf of a storage battery of a car is 6.0 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The maximum power is drawn from a battery when the external resistance $R$ is equal to the internal resistance $r$ of the battery $(R = r)$.The po

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(C) The maximum power is drawn from a battery when the external resistance $R$ is equal to the internal resistance $r$ of the battery $(R = r)$.The power delivered to the external resistor is given by the formula: $P = I^2 R = \left(\frac{E}{R+r}ight)^2 \cdot R$.Substituting $R = r$ for maximum power, we get:$P_{max} = \frac{E^2 r}{(r+r)^2} = \frac{E^2 r}{4r^2} = \frac{E^2}{4r}$.Given values are $E = 6.0 \ V$ and $r = 0.2 \ \Omega$.Substituting these values into the formula:$P_{max} = \frac{(6.0)^2}{4 	imes 0.2} = \frac{36}{0.8} = 45 \ W$.Therefore, the maximum power drawn is $45 \ W$.

The emf of a storage battery of a car is $6.0 \ V$. If the internal resistance of the battery is $0.2 \ \Omega$, then the maximum power drawn from the battery is . . . . . . $W$.

Similar Questions

$Kilowatt-hour$ $(kWh)$ is a unit of

An electric lamp is marked $60\, W$, $230\, V$. The cost of $1\, kWh$ of power is Rs. $1.25$. The cost of using this lamp for $8$ hours is Rs. ................

$A$ $5\;A$ fuse wire can withstand a maximum power of $1\;W$ in the circuit. The resistance of the fuse wire is

$A$ battery with a $12 \, V$ emf has an initial charge of $80 \, A \cdot h$. If the potential across the terminals stays constant until the battery is completely discharged, then this battery can deliver energy at the rate of $120 \, W$ for a time of: (in $ \, h$)

An electric kettle takes $4 \ A$ current at $220 \ V$. If the entire electric energy is converted into heat energy, then the time (in minutes) taken to increase the temperature of $1 \ kg$ of water from $34^{\circ} C$ to $100^{\circ} C$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module