No flux given

The magnetic flux ϕ \phi through a stationary loop of wire having a resistance R R varies with time as ϕ = a t 2 + b t \phi=a{t }^{ 2 }+bt ( a a and b b are positive constants). The average EMF and the total charge flowing in the loop in the time interval t = 0 t=0 to t = τ t= \tau respectively are ___________ \text{\_\_\_\_\_\_\_\_\_\_\_} .

a τ + b a\tau +b , a τ 2 + b τ R \frac { a{ \tau }^{ 2 }+b\tau }{ R } a τ + b a\tau +b , a τ 2 + b τ 2 R \frac { a{ \tau }^{ 2 }+b\tau }{ 2R } a τ + b 2 \frac { a\tau +b }{ 2 } , a τ 2 + b τ 2 R \frac { a{ \tau }^{ 2 }+b\tau }{ 2R } NONE OF THESE

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